72774528 has 32 divisors (see below), whose sum is σ = 193308360. Its totient is φ = 24258048.

The previous prime is 72774517. The next prime is 72774539. The reversal of 72774528 is 82547727.

It is an interprime number because it is at equal distance from previous prime (72774517) and next prime (72774539).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×72774528³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 72774528.

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 3 ways as a sum of consecutive naturals, for example, 94375 + ... + 95142.

Almost surely, 2^72774528 is an apocalyptic number.

It is an amenable number.

72774528 is an abundant number, since it is smaller than the sum of its proper divisors (120533832).

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

72774528 is a wasteful number, since it uses less digits than its factorization.

72774528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189534 (or 189522 counting only the distinct ones).

The product of its digits is 219520, while the sum is 42.

The square root of 72774528 is about 8530.7987902658. The cubic root of 72774528 is about 417.5031909589.

The spelling of 72774528 in words is "seventy-two million, seven hundred seventy-four thousand, five hundred twenty-eight".