72132720 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 17233920.

The previous prime is 72132713. The next prime is 72132737. The reversal of 72132720 is 2723127.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234807 + ... + 235113.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^72132720 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 72132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

72132720 is an abundant number, since it is smaller than the sum of its proper divisors (175351440).

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

72132720 is a wasteful number, since it uses less digits than its factorization.

72132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72132720 is about 8493.0983745627. The cubic root of 72132720 is about 416.2722268970.

Adding to 72132720 its reverse (2723127), we get a palindrome (74855847).

The spelling of 72132720 in words is "seventy-two million, one hundred thirty-two thousand, seven hundred twenty".