72999972 has 72 divisors (see below), whose sum is σ = 197483832. Its totient is φ = 22656000.

The previous prime is 72999961. The next prime is 72999973. The reversal of 72999972 is 27999927.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 16208676 = 7536^2 + 4026^2 .

It is not an unprimeable number, because it can be changed into a prime (72999973) 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 23 ways as a sum of consecutive naturals, for example, 61222 + ... + 62402.

It is an arithmetic number, because the mean of its divisors is an integer number (2742831).

Almost surely, 2^72999972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72999972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98741916).

72999972 is an abundant number, since it is smaller than the sum of its proper divisors (124483860).

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

72999972 is a wasteful number, since it uses less digits than its factorization.

72999972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1304 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 72999972 is about 8544.0021067413. The cubic root of 72999972 is about 417.9338662036.

It can be divided in two parts, 7299 and 9972, that added together give a palindrome (17271).

The spelling of 72999972 in words is "seventy-two million, nine hundred ninety-nine thousand, nine hundred seventy-two".