72137760 has 48 divisors (see below), whose sum is σ = 227235456. Its totient is φ = 19236608.

The previous prime is 72137743. The next prime is 72137881. The reversal of 72137760 is 6773127.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 74664 + ... + 75623.

It is an arithmetic number, because the mean of its divisors is an integer number (4734072).

Almost surely, 2^72137760 is an apocalyptic number.

It is an amenable number.

72137760 is an abundant number, since it is smaller than the sum of its proper divisors (155097696).

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

72137760 is a wasteful number, since it uses less digits than its factorization.

72137760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150305 (or 150297 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 33.

The square root of 72137760 is about 8493.3950808849. The cubic root of 72137760 is about 416.2819218185.

The spelling of 72137760 in words is "seventy-two million, one hundred thirty-seven thousand, seven hundred sixty".