72351180 has 72 divisors (see below), whose sum is σ = 239423184. Its totient is φ = 17539200.

The previous prime is 72351173. The next prime is 72351187. The reversal of 72351180 is 8115327.

72351180 is a `hidden beast` number, since 72 + 3 + 511 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (72351173) and next prime (72351187).

It is not an unprimeable number, because it can be changed into a prime (72351187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16291 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (3325322).

Almost surely, 2^72351180 is an apocalyptic number.

It is an amenable number.

72351180 is an abundant number, since it is smaller than the sum of its proper divisors (167072004).

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

72351180 is a wasteful number, since it uses less digits than its factorization.

72351180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36567 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72351180 is about 8505.9496824282. The cubic root of 72351180 is about 416.6920418324.

The spelling of 72351180 in words is "seventy-two million, three hundred fifty-one thousand, one hundred eighty".