72157080 has 32 divisors (see below), whose sum is σ = 216471600. Its totient is φ = 19241856.

The previous prime is 72157073. The next prime is 72157081. The reversal of 72157080 is 8075127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300535 + ... + 300774.

Almost surely, 2^72157080 is an apocalyptic number.

It is an amenable number.

72157080 is an abundant number, since it is smaller than the sum of its proper divisors (144314520).

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

72157080 is a wasteful number, since it uses less digits than its factorization.

72157080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601323 (or 601319 counting only the distinct ones).

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

The square root of 72157080 is about 8494.5323591119. The cubic root of 72157080 is about 416.3190815013.

The spelling of 72157080 in words is "seventy-two million, one hundred fifty-seven thousand, eighty".