72737152 has 32 divisors (see below), whose sum is σ = 153434520. Its totient is φ = 34228224.

The previous prime is 72737113. The next prime is 72737183. The reversal of 72737152 is 25173727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×72737152² = 10581386562142208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14538 + ... + 18889.

Almost surely, 2^72737152 is an apocalyptic number.

It is an amenable number.

72737152 is an abundant number, since it is smaller than the sum of its proper divisors (80697368).

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

72737152 is a wasteful number, since it uses less digits than its factorization.

72737152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33458 (or 33446 counting only the distinct ones).

The product of its digits is 20580, while the sum is 34.

The square root of 72737152 is about 8528.6078582615. The cubic root of 72737152 is about 417.4317040807.

The spelling of 72737152 in words is "seventy-two million, seven hundred thirty-seven thousand, one hundred fifty-two".