72891792 has 40 divisors (see below), whose sum is σ = 209227680. Its totient is φ = 24297120.

The previous prime is 72891781. The next prime is 72891811. The reversal of 72891792 is 29719827.

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, 83934 + ... + 84797.

It is an arithmetic number, because the mean of its divisors is an integer number (5230692).

Almost surely, 2^72891792 is an apocalyptic number.

72891792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72891792 is an abundant number, since it is smaller than the sum of its proper divisors (136335888).

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

72891792 is a wasteful number, since it uses less digits than its factorization.

72891792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168748 (or 168736 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 72891792 is about 8537.6690027197. The cubic root of 72891792 is about 417.7273161811.

The spelling of 72891792 in words is "seventy-two million, eight hundred ninety-one thousand, seven hundred ninety-two".