45572580 has 144 divisors (see below), whose sum is σ = 149660784. Its totient is φ = 11182080.

The previous prime is 45572533. The next prime is 45572581. The reversal of 45572580 is 8527554.

It is a happy number.

45572580 is a `hidden beast` number, since 4 + 5 + 5 + 72 + 580 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3504384 + 42068196 = 1872^2 + 6486^2 .

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 (45572581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162040 + ... + 162320.

It is an arithmetic number, because the mean of its divisors is an integer number (1039311).

Almost surely, 2^45572580 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 45572580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74830392).

45572580 is an abundant number, since it is smaller than the sum of its proper divisors (104088204).

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

45572580 is a wasteful number, since it uses less digits than its factorization.

45572580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 45572580 is about 6750.7466253741. The cubic root of 45572580 is about 357.1915738496.

The spelling of 45572580 in words is "forty-five million, five hundred seventy-two thousand, five hundred eighty".