45972520 has 64 divisors (see below), whose sum is σ = 113711040. Its totient is φ = 16588800.

The previous prime is 45972503. The next prime is 45972523. The reversal of 45972520 is 2527954.

It is a super-2 number, since 2×45972520² = 4226945190300800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45972523) 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, 71400 + ... + 72040.

It is an arithmetic number, because the mean of its divisors is an integer number (1776735).

Almost surely, 2^45972520 is an apocalyptic number.

45972520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45972520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56855520).

45972520 is an abundant number, since it is smaller than the sum of its proper divisors (67738520).

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

45972520 is a wasteful number, since it uses less digits than its factorization.

45972520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 45972520 is about 6780.3038280006. The cubic root of 45972520 is about 358.2334235010.

It can be divided in two parts, 4597 and 2520, that added together give a palindrome (7117).

The spelling of 45972520 in words is "forty-five million, nine hundred seventy-two thousand, five hundred twenty".