72827688 has 16 divisors (see below), whose sum is σ = 182069280. Its totient is φ = 24275888.

The previous prime is 72827687. The next prime is 72827701. The reversal of 72827688 is 88672827.

It is not an unprimeable number, because it can be changed into a prime (72827687) 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 3 ways as a sum of consecutive naturals, for example, 1517220 + ... + 1517267.

It is an arithmetic number, because the mean of its divisors is an integer number (11379330).

Almost surely, 2^72827688 is an apocalyptic number.

It is an amenable number.

72827688 is an abundant number, since it is smaller than the sum of its proper divisors (109241592).

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

72827688 is a wasteful number, since it uses less digits than its factorization.

72827688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034496 (or 3034492 counting only the distinct ones).

The product of its digits is 602112, while the sum is 48.

The square root of 72827688 is about 8533.9139906610. The cubic root of 72827688 is about 417.6048248147.

The spelling of 72827688 in words is "seventy-two million, eight hundred twenty-seven thousand, six hundred eighty-eight".