72150720 has 112 divisors (see below), whose sum is σ = 242608608. Its totient is φ = 18104320.

The previous prime is 72150709. The next prime is 72150721. The reversal of 72150720 is 2705127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72150721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14110 + ... + 18530.

Almost surely, 2^72150720 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 72150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121304304).

72150720 is an abundant number, since it is smaller than the sum of its proper divisors (170457888).

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

72150720 is a wasteful number, since it uses less digits than its factorization.

72150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72150720 is about 8494.1579924087. The cubic root of 72150720 is about 416.3068495432.

Adding to 72150720 its reverse (2705127), we get a palindrome (74855847).

The spelling of 72150720 in words is "seventy-two million, one hundred fifty thousand, seven hundred twenty".