72504180 has 96 divisors (see below), whose sum is σ = 257806080. Its totient is φ = 16571520.

The previous prime is 72504161. The next prime is 72504181. The reversal of 72504180 is 8140527.

It is a super-2 number, since 2×72504180² = 10513712234944800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72504181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5811 + ... + 13370.

It is an arithmetic number, because the mean of its divisors is an integer number (2685480).

Almost surely, 2^72504180 is an apocalyptic number.

72504180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72504180 is an abundant number, since it is smaller than the sum of its proper divisors (185301900).

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

72504180 is a wasteful number, since it uses less digits than its factorization.

72504180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19206 (or 19198 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 72504180 is about 8514.9386374771. The cubic root of 72504180 is about 416.9855592536.

The spelling of 72504180 in words is "seventy-two million, five hundred four thousand, one hundred eighty".