72735136 has 12 divisors (see below), whose sum is σ = 143197362. Its totient is φ = 36367552.

The previous prime is 72735079. The next prime is 72735139. The reversal of 72735136 is 63153727.

It can be written as a sum of positive squares in only one way, i.e., 70896400 + 1838736 = 8420^2 + 1356^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72735139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1136455 + ... + 1136518.

Almost surely, 2^72735136 is an apocalyptic number.

It is an amenable number.

72735136 is a deficient number, since it is larger than the sum of its proper divisors (70462226).

72735136 is a wasteful number, since it uses less digits than its factorization.

72735136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272983 (or 2272975 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The square root of 72735136 is about 8528.4896669926. The cubic root of 72735136 is about 417.4278475000.

The spelling of 72735136 in words is "seventy-two million, seven hundred thirty-five thousand, one hundred thirty-six".