72518160 has 160 divisors (see below), whose sum is σ = 264233088. Its totient is φ = 16220160.

The previous prime is 72518137. The next prime is 72518161. The reversal of 72518160 is 6181527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72518161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33264 + ... + 35376.

Almost surely, 2^72518160 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 72518160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132116544).

72518160 is an abundant number, since it is smaller than the sum of its proper divisors (191714928).

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

72518160 is a wasteful number, since it uses less digits than its factorization.

72518160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72518160 is about 8515.7595081120. The cubic root of 72518160 is about 417.0123580923.

Adding to 72518160 its reverse (6181527), we get a palindrome (78699687).

The spelling of 72518160 in words is "seventy-two million, five hundred eighteen thousand, one hundred sixty".