72405168 has 40 divisors (see below), whose sum is σ = 204052416. Its totient is φ = 21940800.

The previous prime is 72405167. The next prime is 72405169. The reversal of 72405168 is 86150427.

It is an interprime number because it is at equal distance from previous prime (72405167) and next prime (72405169).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72405167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68038 + ... + 69093.

Almost surely, 2^72405168 is an apocalyptic number.

It is an amenable number.

72405168 is an abundant number, since it is smaller than the sum of its proper divisors (131647248).

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

72405168 is a wasteful number, since it uses less digits than its factorization.

72405168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137153 (or 137147 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 72405168 is about 8509.1226339735. The cubic root of 72405168 is about 416.7956603991.

The spelling of 72405168 in words is "seventy-two million, four hundred five thousand, one hundred sixty-eight".