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75269272 = 23131514793
BaseRepresentation
bin1000111110010…
…00010010011000
312020122002000211
410133020102120
5123232104042
611245140504
71602530641
oct437102230
9166562024
1075269272
113953aa11
122125a734
1312795040
149dd46c8
15691c017
hex47c8498

75269272 has 32 divisors (see below), whose sum is σ = 153024480. Its totient is φ = 34502400.

The previous prime is 75269269. The next prime is 75269281. The reversal of 75269272 is 27296257.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13308 + ... + 18100.

It is an arithmetic number, because the mean of its divisors is an integer number (4782015).

Almost surely, 275269272 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 75269272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76512240).

75269272 is an abundant number, since it is smaller than the sum of its proper divisors (77755208).

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

75269272 is a wasteful number, since it uses less digits than its factorization.

75269272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4959 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 75269272 is about 8675.7865349489. The cubic root of 75269272 is about 422.2204249641.

The spelling of 75269272 in words is "seventy-five million, two hundred sixty-nine thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 4793 7852 9586 15704 19172 38344 62309 124618 249236 498472 723743 1447486 2894972 5789944 9408659 18817318 37634636 75269272