72644072 has 32 divisors (see below), whose sum is σ = 141409800. Its totient is φ = 34944000.

The previous prime is 72644063. The next prime is 72644083. The reversal of 72644072 is 27044627.

It can be written as a sum of positive squares in 4 ways, for example, as 66161956 + 6482116 = 8134^2 + 2546^2 .

It is a super-2 number, since 2×72644072² = 10554322393482368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120572 + ... + 121172.

Almost surely, 2^72644072 is an apocalyptic number.

It is an amenable number.

72644072 is a deficient number, since it is larger than the sum of its proper divisors (68765728).

72644072 is a wasteful number, since it uses less digits than its factorization.

72644072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 72644072 is about 8523.1491832538. The cubic root of 72644072 is about 417.2535689394.

Adding to 72644072 its reverse (27044627), we get a palindrome (99688699).

The spelling of 72644072 in words is "seventy-two million, six hundred forty-four thousand, seventy-two".