45727605 has 128 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 18420480.

The previous prime is 45727601. The next prime is 45727607. The reversal of 45727605 is 50672754.

45727605 is a `hidden beast` number, since 45 + 7 + 2 + 7 + 605 = 666.

It is not a de Polignac number, because 45727605 - 2² = 45727601 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45727605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45727601) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550894 + ... + 550976.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^45727605 is an apocalyptic number.

45727605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45727605 is an abundant number, since it is smaller than the sum of its proper divisors (58781835).

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

45727605 is a wasteful number, since it uses less digits than its factorization.

45727605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45727605 is about 6762.2189405549. The cubic root of 45727605 is about 357.5961369566.

The spelling of 45727605 in words is "forty-five million, seven hundred twenty-seven thousand, six hundred five".