72828690 has 48 divisors (see below), whose sum is σ = 192132864. Its totient is φ = 17654560.

The previous prime is 72828683. The next prime is 72828761. The reversal of 72828690 is 9682827.

It is a happy number.

It is a super-2 number, since 2×72828690² = 10608036174232200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6402 + ... + 13661.

It is an arithmetic number, because the mean of its divisors is an integer number (4002768).

Almost surely, 2^72828690 is an apocalyptic number.

72828690 is an abundant number, since it is smaller than the sum of its proper divisors (119304174).

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

72828690 is a wasteful number, since it uses less digits than its factorization.

72828690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20095 (or 20084 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 72828690 is about 8533.9726974018. The cubic root of 72828690 is about 417.6067400117.

The spelling of 72828690 in words is "seventy-two million, eight hundred twenty-eight thousand, six hundred ninety".