72789072 has 40 divisors (see below), whose sum is σ = 194526240. Its totient is φ = 23425920.

The previous prime is 72789071. The next prime is 72789077. The reversal of 72789072 is 27098727.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72789071) by changing a digit.

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, 24754 + ... + 27537.

It is an arithmetic number, because the mean of its divisors is an integer number (4863156).

Almost surely, 2^72789072 is an apocalyptic number.

It is an amenable number.

72789072 is an abundant number, since it is smaller than the sum of its proper divisors (121737168).

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

72789072 is a wasteful number, since it uses less digits than its factorization.

72789072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52331 (or 52325 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 72789072 is about 8531.6511883691. The cubic root of 72789072 is about 417.5310017975.

The spelling of 72789072 in words is "seventy-two million, seven hundred eighty-nine thousand, seventy-two".