72531320 has 64 divisors (see below), whose sum is σ = 174355200. Its totient is φ = 27095040.

The previous prime is 72531313. The next prime is 72531323. The reversal of 72531320 is 2313527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72531323) 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, 34952 + ... + 36968.

It is an arithmetic number, because the mean of its divisors is an integer number (2724300).

Almost surely, 2^72531320 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 72531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87177600).

72531320 is an abundant number, since it is smaller than the sum of its proper divisors (101823880).

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

72531320 is a wasteful number, since it uses less digits than its factorization.

72531320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72531320 is about 8516.5321581029. The cubic root of 72531320 is about 417.0375818923.

Adding to 72531320 its reverse (2313527), we get a palindrome (74844847).

The spelling of 72531320 in words is "seventy-two million, five hundred thirty-one thousand, three hundred twenty".