72828464 has 40 divisors (see below), whose sum is σ = 146792688. Its totient is φ = 34974720.

The previous prime is 72828451. The next prime is 72828487. The reversal of 72828464 is 46482827.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 7 ways as a sum of consecutive naturals, for example, 43124 + ... + 44780.

Almost surely, 2^72828464 is an apocalyptic number.

It is an amenable number.

72828464 is an abundant number, since it is smaller than the sum of its proper divisors (73964224).

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

72828464 is a wasteful number, since it uses less digits than its factorization.

72828464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1767 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 72828464 is about 8533.9594561962. The cubic root of 72828464 is about 417.6063080427.

It can be divided in two parts, 728 and 28464, that added together give a palindrome (29192).

The spelling of 72828464 in words is "seventy-two million, eight hundred twenty-eight thousand, four hundred sixty-four".