72740160 has 112 divisors (see below), whose sum is σ = 256641600. Its totient is φ = 19395072.

The previous prime is 72740159. The next prime is 72740179. The reversal of 72740160 is 6104727.

It is a super-2 number, since 2×72740160² = 10582261753651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431 + ... + 12849.

Almost surely, 2^72740160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128320800).

72740160 is an abundant number, since it is smaller than the sum of its proper divisors (183901440).

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

72740160 is a wasteful number, since it uses less digits than its factorization.

72740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8445 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72740160 is about 8528.7842040938. The cubic root of 72740160 is about 417.4374582115.

Adding to 72740160 its reverse (6104727), we get a palindrome (78844887).

It can be divided in two parts, 72740 and 160, that added together give a square (72900 = 270²).

The spelling of 72740160 in words is "seventy-two million, seven hundred forty thousand, one hundred sixty".