72828531 has 32 divisors (see below), whose sum is σ = 110714880. Its totient is φ = 47301408.

The previous prime is 72828529. The next prime is 72828583. The reversal of 72828531 is 13582827.

It is not a de Polignac number, because 72828531 - 2¹ = 72828529 is a prime.

It is a super-2 number, since 2×72828531² = 10607989855235922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72828131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229585 + ... + 229901.

It is an arithmetic number, because the mean of its divisors is an integer number (3459840).

Almost surely, 2^72828531 is an apocalyptic number.

72828531 is a deficient number, since it is larger than the sum of its proper divisors (37886349).

72828531 is a wasteful number, since it uses less digits than its factorization.

72828531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 72828531 is about 8533.9633816885. The cubic root of 72828531 is about 417.6064361044.

The spelling of 72828531 in words is "seventy-two million, eight hundred twenty-eight thousand, five hundred thirty-one".