45037575 has 72 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 21096000.

The previous prime is 45037567. The next prime is 45037583. The reversal of 45037575 is 57573054.

45037575 is a `hidden beast` number, since 4 + 50 + 37 + 575 = 666.

45037575 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45037567) and next prime (45037583).

It is not a de Polignac number, because 45037575 - 2³ = 45037567 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 76432 + ... + 77018.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^45037575 is an apocalyptic number.

45037575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45037575 is an abundant number, since it is smaller than the sum of its proper divisors (45956601).

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

45037575 is a wasteful number, since it uses less digits than its factorization.

45037575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 45037575 is about 6711.0040232442. The cubic root of 45037575 is about 355.7883031037.

It can be divided in two parts, 450 and 37575, that added together give a square (38025 = 195²).

The spelling of 45037575 in words is "forty-five million, thirty-seven thousand, five hundred seventy-five".