72152520 has 128 divisors (see below), whose sum is σ = 241367040. Its totient is φ = 17104640.

The previous prime is 72152513. The next prime is 72152527. The reversal of 72152520 is 2525127.

It is an interprime number because it is at equal distance from previous prime (72152513) and next prime (72152527).

It is a super-2 number, since 2×72152520² = 10411972284700800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (72152527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61459 + ... + 62621.

It is an arithmetic number, because the mean of its divisors is an integer number (1885680).

Almost surely, 2^72152520 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 72152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120683520).

72152520 is an abundant number, since it is smaller than the sum of its proper divisors (169214520).

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

72152520 is a wasteful number, since it uses less digits than its factorization.

72152520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 72152520 is about 8494.2639469232. The cubic root of 72152520 is about 416.3103114910.

Adding to 72152520 its reverse (2525127), we get a palindrome (74677647).

The spelling of 72152520 in words is "seventy-two million, one hundred fifty-two thousand, five hundred twenty".