45732624 has 80 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 12954240.

The previous prime is 45732619. The next prime is 45732647. The reversal of 45732624 is 42623754.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43497 + ... + 44535.

It is an arithmetic number, because the mean of its divisors is an integer number (1702272).

Almost surely, 2^45732624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45732624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

45732624 is an abundant number, since it is smaller than the sum of its proper divisors (90449136).

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

45732624 is a wasteful number, since it uses less digits than its factorization.

45732624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 45732624 is about 6762.5900363692. The cubic root of 45732624 is about 357.6092195672.

The spelling of 45732624 in words is "forty-five million, seven hundred thirty-two thousand, six hundred twenty-four".