72180507 has 48 divisors (see below), whose sum is σ = 117508352. Its totient is φ = 38586240.

The previous prime is 72180503. The next prime is 72180527. The reversal of 72180507 is 70508127.

It is a happy number.

It is not a de Polignac number, because 72180507 - 2² = 72180503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72180503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077288 + ... + 1077354.

Almost surely, 2^72180507 is an apocalyptic number.

72180507 is a deficient number, since it is larger than the sum of its proper divisors (45327845).

72180507 is a wasteful number, since it uses less digits than its factorization.

72180507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 72180507 is about 8495.9111930387. The cubic root of 72180507 is about 416.3641316050.

The spelling of 72180507 in words is "seventy-two million, one hundred eighty thousand, five hundred seven".