45937720 has 32 divisors (see below), whose sum is σ = 106156800. Its totient is φ = 17877888.

The previous prime is 45937709. The next prime is 45937721. The reversal of 45937720 is 2773954.

It is a super-2 number, since 2×45937720² = 4220548237596800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 45937720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45937721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14040 + ... + 16999.

It is an arithmetic number, because the mean of its divisors is an integer number (3317400).

Almost surely, 2^45937720 is an apocalyptic number.

45937720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45937720 is an abundant number, since it is smaller than the sum of its proper divisors (60219080).

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

45937720 is a wasteful number, since it uses less digits than its factorization.

45937720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31087 (or 31083 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 45937720 is about 6777.7370854880. The cubic root of 45937720 is about 358.1430095604.

It can be divided in two parts, 45 and 937720, that added together give a triangular number (937765 = T₁₃₆₉).

The spelling of 45937720 in words is "forty-five million, nine hundred thirty-seven thousand, seven hundred twenty".