72928368 has 120 divisors (see below), whose sum is σ = 223307136. Its totient is φ = 22141440.

The previous prime is 72928357. The next prime is 72928379. The reversal of 72928368 is 86382927.

It is an interprime number because it is at equal distance from previous prime (72928357) and next prime (72928379).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2352513 + ... + 2352543.

Almost surely, 2^72928368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72928368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111653568).

72928368 is an abundant number, since it is smaller than the sum of its proper divisors (150378768).

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

72928368 is a wasteful number, since it uses less digits than its factorization.

72928368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72928368 is about 8539.8107707373. The cubic root of 72928368 is about 417.7971742499.

The spelling of 72928368 in words is "seventy-two million, nine hundred twenty-eight thousand, three hundred sixty-eight".