72987180 has 48 divisors (see below), whose sum is σ = 233560320. Its totient is φ = 16682688.

The previous prime is 72987149. The next prime is 72987181. The reversal of 72987180 is 8178927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72987181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86470 + ... + 87309.

It is an arithmetic number, because the mean of its divisors is an integer number (4865840).

Almost surely, 2^72987180 is an apocalyptic number.

72987180 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72987180 is an abundant number, since it is smaller than the sum of its proper divisors (160573140).

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

72987180 is a wasteful number, since it uses less digits than its factorization.

72987180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173798 (or 173796 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 72987180 is about 8543.2534786228. The cubic root of 72987180 is about 417.9094528503.

The spelling of 72987180 in words is "seventy-two million, nine hundred eighty-seven thousand, one hundred eighty".