72738288 has 60 divisors (see below), whose sum is σ = 232650288. Its totient is φ = 20782080.

The previous prime is 72738287. The next prime is 72738301. The reversal of 72738288 is 88283727.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72738287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35073 + ... + 37088.

Almost surely, 2^72738288 is an apocalyptic number.

It is an amenable number.

72738288 is an abundant number, since it is smaller than the sum of its proper divisors (159912000).

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

72738288 is a wasteful number, since it uses less digits than its factorization.

72738288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72182 (or 72173 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 72738288 is about 8528.6744573820. The cubic root of 72738288 is about 417.4338772019.

The spelling of 72738288 in words is "seventy-two million, seven hundred thirty-eight thousand, two hundred eighty-eight".