72412168 has 16 divisors (see below), whose sum is σ = 136639980. Its totient is φ = 35974848.

The previous prime is 72412147. The next prime is 72412169. The reversal of 72412168 is 86121427.

It can be written as a sum of positive squares in 2 ways, for example, as 72284004 + 128164 = 8502^2 + 358^2 .

It is not an unprimeable number, because it can be changed into a prime (72412169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27571 + ... + 30082.

Almost surely, 2^72412168 is an apocalyptic number.

It is an amenable number.

72412168 is a deficient number, since it is larger than the sum of its proper divisors (64227812).

72412168 is a wasteful number, since it uses less digits than its factorization.

72412168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57816 (or 57812 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 72412168 is about 8509.5339472852. The cubic root of 72412168 is about 416.8090916485.

It can be divided in two parts, 7241 and 2168, that added together give a square (9409 = 97²).

The spelling of 72412168 in words is "seventy-two million, four hundred twelve thousand, one hundred sixty-eight".