45737172 has 36 divisors (see below), whose sum is σ = 124508020. Its totient is φ = 14072832.

The previous prime is 45737171. The next prime is 45737173. The reversal of 45737172 is 27173754.

45737172 is a `hidden beast` number, since 457 + 37 + 172 = 666.

It is an interprime number because it is at equal distance from previous prime (45737171) and next prime (45737173).

It can be written as a sum of positive squares in 2 ways, for example, as 5363856 + 40373316 = 2316^2 + 6354^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45737171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48397 + ... + 49332.

Almost surely, 2^45737172 is an apocalyptic number.

It is an amenable number.

45737172 is an abundant number, since it is smaller than the sum of its proper divisors (78770848).

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

45737172 is a wasteful number, since it uses less digits than its factorization.

45737172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97752 (or 97747 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 45737172 is about 6762.9262897063. The cubic root of 45737172 is about 357.6210736346.

The spelling of 45737172 in words is "forty-five million, seven hundred thirty-seven thousand, one hundred seventy-two".