72737132 has 48 divisors (see below), whose sum is σ = 145532352. Its totient is φ = 31553280.

The previous prime is 72737113. The next prime is 72737183. The reversal of 72737132 is 23173727.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72458 + ... + 73454.

It is an arithmetic number, because the mean of its divisors is an integer number (3031924).

Almost surely, 2^72737132 is an apocalyptic number.

It is an amenable number.

72737132 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72737132 is a wasteful number, since it uses less digits than its factorization.

72737132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its digits is 12348, while the sum is 32.

The square root of 72737132 is about 8528.6066857371. The cubic root of 72737132 is about 417.4316658213.

The spelling of 72737132 in words is "seventy-two million, seven hundred thirty-seven thousand, one hundred thirty-two".