72308000 has 48 divisors (see below), whose sum is σ = 177670584. Its totient is φ = 28921600.

The previous prime is 72307931. The next prime is 72308003. The reversal of 72308000 is 80327.

It can be written as a sum of positive squares in 4 ways, for example, as 43191184 + 29116816 = 6572^2 + 5396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (72308003) 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, 5039 + ... + 13038.

Almost surely, 2^72308000 is an apocalyptic number.

It is an amenable number.

72308000 is an abundant number, since it is smaller than the sum of its proper divisors (105362584).

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

72308000 is a wasteful number, since it uses less digits than its factorization.

72308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18102 (or 18084 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72308000 is about 8503.4110802666. The cubic root of 72308000 is about 416.6091298330.

Adding to 72308000 its reverse (80327), we get a palindrome (72388327).

The spelling of 72308000 in words is "seventy-two million, three hundred eight thousand".