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72897356 = 227101149173
BaseRepresentation
bin1000101100001…
…01001101001100
312002011120101002
410112011031030
5122130203411
611122235432
71543421510
oct426051514
9162146332
1072897356
113816a954
12204b5b78
131214453c
149978140
1565ee33b
hex458534c

72897356 has 48 divisors (see below), whose sum is σ = 149083200. Its totient is φ = 30547200.

The previous prime is 72897287. The next prime is 72897361. The reversal of 72897356 is 65379827.

Its product of digits (635040) is a multiple of the sum of its prime divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 72897356.

It is an unprimeable number.

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, 421286 + ... + 421458.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900).

Almost surely, 272897356 is an apocalyptic number.

It is an amenable number.

72897356 is an abundant number, since it is smaller than the sum of its proper divisors (76185844).

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

72897356 is a wasteful number, since it uses less digits than its factorization.

72897356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its digits is 635040, while the sum is 47.

The square root of 72897356 is about 8537.9948465667. The cubic root of 72897356 is about 417.7379446098.

The spelling of 72897356 in words is "seventy-two million, eight hundred ninety-seven thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 101 149 173 202 298 346 404 596 692 707 1043 1211 1414 2086 2422 2828 4172 4844 15049 17473 25777 30098 34946 51554 60196 69892 103108 105343 122311 180439 210686 244622 360878 421372 489244 721756 2603477 5206954 10413908 18224339 36448678 72897356