72180264 has 32 divisors (see below), whose sum is σ = 194332320. Its totient is φ = 22209216.

The previous prime is 72180247. The next prime is 72180281. The reversal of 72180264 is 46208127.

It is an interprime number because it is at equal distance from previous prime (72180247) and next prime (72180281).

It is a super-2 number, since 2×72180264² = 10419981022219392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115362 + ... + 115985.

It is an arithmetic number, because the mean of its divisors is an integer number (6072885).

Almost surely, 2^72180264 is an apocalyptic number.

It is an amenable number.

72180264 is an abundant number, since it is smaller than the sum of its proper divisors (122152056).

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

72180264 is a wasteful number, since it uses less digits than its factorization.

72180264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231369 (or 231365 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72180264 is about 8495.8968920297. The cubic root of 72180264 is about 416.3636643662.

The spelling of 72180264 in words is "seventy-two million, one hundred eighty thousand, two hundred sixty-four".