72975168 has 140 divisors (see below), whose sum is σ = 247347232. Its totient is φ = 20839680.

The previous prime is 72975167. The next prime is 72975277. The reversal of 72975168 is 86157927.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72975163) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35283 + ... + 37293.

Almost surely, 2^72975168 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 72975168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123673616).

72975168 is an abundant number, since it is smaller than the sum of its proper divisors (174372064).

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

72975168 is a wasteful number, since it uses less digits than its factorization.

72975168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2023 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72975168 is about 8542.5504388327. The cubic root of 72975168 is about 417.8865255191.

The spelling of 72975168 in words is "seventy-two million, nine hundred seventy-five thousand, one hundred sixty-eight".