45572592 has 80 divisors (see below), whose sum is σ = 127769600. Its totient is φ = 13913856.

The previous prime is 45572587. The next prime is 45572599. The reversal of 45572592 is 29527554.

It is a super-2 number, since 2×45572592² = 4153722283196928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45572592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45572599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123993 + ... + 124359.

It is an arithmetic number, because the mean of its divisors is an integer number (1597120).

Almost surely, 2^45572592 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 45572592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63884800).

45572592 is an abundant number, since it is smaller than the sum of its proper divisors (82197008).

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

45572592 is a wasteful number, since it uses less digits than its factorization.

45572592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 45572592 is about 6750.7475141646. The cubic root of 45572592 is about 357.1916052011.

It can be divided in two parts, 45572 and 592, that added together give a palindrome (46164).

The spelling of 45572592 in words is "forty-five million, five hundred seventy-two thousand, five hundred ninety-two".