45564672 has 72 divisors (see below), whose sum is σ = 122967040. Its totient is φ = 14976000.

The previous prime is 45564661. The next prime is 45564677. The reversal of 45564672 is 27646554.

It is a super-2 number, since 2×45564672² = 4152278668935168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45564672.

It is not an unprimeable number, because it can be changed into a prime (45564677) 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, 60297 + ... + 61047.

Almost surely, 2^45564672 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 45564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61483520).

45564672 is an abundant number, since it is smaller than the sum of its proper divisors (77402368).

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

45564672 is an equidigital number, since it uses as much as digits as its factorization.

45564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 45564672 is about 6750.1608869715. The cubic root of 45564672 is about 357.1709120514.

The spelling of 45564672 in words is "forty-five million, five hundred sixty-four thousand, six hundred seventy-two".