72332520 has 128 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 17639424.

The previous prime is 72332461. The next prime is 72332531. The reversal of 72332520 is 2523327.

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

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, 310324 + ... + 310556.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^72332520 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 72332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936000).

72332520 is an abundant number, since it is smaller than the sum of its proper divisors (163539480).

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

72332520 is a wasteful number, since it uses less digits than its factorization.

72332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 72332520 is about 8504.8527324111. The cubic root of 72332520 is about 416.6562159157.

Adding to 72332520 its reverse (2523327), we get a palindrome (74855847).

The spelling of 72332520 in words is "seventy-two million, three hundred thirty-two thousand, five hundred twenty".