72688392 has 48 divisors (see below), whose sum is σ = 224989440. Its totient is φ = 20767968.

The previous prime is 72688381. The next prime is 72688403. The reversal of 72688392 is 29388627.

It is an interprime number because it is at equal distance from previous prime (72688381) and next prime (72688403).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71608 + ... + 72615.

It is an arithmetic number, because the mean of its divisors is an integer number (4687280).

Almost surely, 2^72688392 is an apocalyptic number.

72688392 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72688392 is an abundant number, since it is smaller than the sum of its proper divisors (152301048).

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

72688392 is a wasteful number, since it uses less digits than its factorization.

72688392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144242 (or 144235 counting only the distinct ones).

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

The square root of 72688392 is about 8525.7487647713. The cubic root of 72688392 is about 417.3384068720.

The spelling of 72688392 in words is "seventy-two million, six hundred eighty-eight thousand, three hundred ninety-two".