72371520 has 168 divisors, whose sum is σ = 268214856. Its totient is φ = 17805312.

The previous prime is 72371477. The next prime is 72371521. The reversal of 72371520 is 2517327.

72371520 is a `hidden beast` number, since 72 + 3 + 71 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3415104 + 68956416 = 1848^2 + 8304^2 .

It is a super-2 number, since 2×72371520² = 10475273814220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72371521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36474 + ... + 38406.

It is an arithmetic number, because the mean of its divisors is an integer number (1596517).

Almost surely, 2^72371520 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 72371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134107428).

72371520 is an abundant number, since it is smaller than the sum of its proper divisors (195843336).

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

72371520 is a wasteful number, since it uses less digits than its factorization.

72371520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72371520 is about 8507.1452320975. The cubic root of 72371520 is about 416.7310862176.

Adding to 72371520 its reverse (2517327), we get a palindrome (74888847).

The spelling of 72371520 in words is "seventy-two million, three hundred seventy-one thousand, five hundred twenty".