72131752 has 64 divisors (see below), whose sum is σ = 177523200. Its totient is φ = 26619840.

The previous prime is 72131737. The next prime is 72131753. The reversal of 72131752 is 25713127.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 72131752.

It is not an unprimeable number, because it can be changed into a prime (72131753) 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, 8623 + ... + 14785.

It is an arithmetic number, because the mean of its divisors is an integer number (2773800).

Almost surely, 2^72131752 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 72131752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88761600).

72131752 is an abundant number, since it is smaller than the sum of its proper divisors (105391448).

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

72131752 is a wasteful number, since it uses less digits than its factorization.

72131752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6202 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 72131752 is about 8493.0413869238. The cubic root of 72131752 is about 416.2703648049.

Adding to 72131752 its reverse (25713127), we get a palindrome (97844879).

The spelling of 72131752 in words is "seventy-two million, one hundred thirty-one thousand, seven hundred fifty-two".