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72534696 = 23313832801
BaseRepresentation
bin1000101001011…
…00101010101000
312001111010220020
410110230222220
5122032102241
611110400440
71540351263
oct424545250
9161433806
1072534696
1137a42433
1220360120
1312048450
1498c1cda
15657bb66
hex452caa8

72534696 has 64 divisors (see below), whose sum is σ = 197709120. Its totient is φ = 22041600.

The previous prime is 72534691. The next prime is 72534697. The reversal of 72534696 is 69643527.

It is a super-2 number, since 2×725346962 = 10522564247624832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72534691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24496 + ... + 27296.

It is an arithmetic number, because the mean of its divisors is an integer number (3089205).

Almost surely, 272534696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72534696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98854560).

72534696 is an abundant number, since it is smaller than the sum of its proper divisors (125174424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72534696 is a wasteful number, since it uses less digits than its factorization.

72534696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2902 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 72534696 is about 8516.7303585355. The cubic root of 72534696 is about 417.0440521870.

The spelling of 72534696 in words is "seventy-two million, five hundred thirty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 2801 3237 4316 5602 6474 8403 8632 11204 12948 16806 22408 25896 33612 36413 67224 72826 109239 145652 218478 232483 291304 436956 464966 697449 873912 929932 1394898 1859864 2789796 3022279 5579592 6044558 9066837 12089116 18133674 24178232 36267348 72534696