72305872 has 10 divisors (see below), whose sum is σ = 140092658. Its totient is φ = 36152928.

The previous prime is 72305851. The next prime is 72305873. The reversal of 72305872 is 27850327.

It can be written as a sum of positive squares in only one way, i.e., 47941776 + 24364096 = 6924^2 + 4936^2 .

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 (72305873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2259543 + ... + 2259574.

Almost surely, 2^72305872 is an apocalyptic number.

It is an amenable number.

72305872 is a deficient number, since it is larger than the sum of its proper divisors (67786786).

72305872 is a wasteful number, since it uses less digits than its factorization.

72305872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519125 (or 4519119 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72305872 is about 8503.2859530890. The cubic root of 72305872 is about 416.6050429043.

The spelling of 72305872 in words is "seventy-two million, three hundred five thousand, eight hundred seventy-two".