72688833 has 48 divisors (see below), whose sum is σ = 125705216. Its totient is φ = 41115600.

The previous prime is 72688829. The next prime is 72688841. The reversal of 72688833 is 33888627.

It is not a de Polignac number, because 72688833 - 2² = 72688829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72688823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256710 + ... + 256992.

Almost surely, 2^72688833 is an apocalyptic number.

It is an amenable number.

72688833 is a deficient number, since it is larger than the sum of its proper divisors (53016383).

72688833 is a wasteful number, since it uses less digits than its factorization.

72688833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 72688833 is about 8525.7746275632. The cubic root of 72688833 is about 417.3392508668.

The spelling of 72688833 in words is "seventy-two million, six hundred eighty-eight thousand, eight hundred thirty-three".