45106572 has 48 divisors (see below), whose sum is σ = 122269952. Its totient is φ = 12674880.

The previous prime is 45106543. The next prime is 45106583. The reversal of 45106572 is 27560154.

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, 723 + ... + 9525.

Almost surely, 2^45106572 is an apocalyptic number.

45106572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45106572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61134976).

45106572 is an abundant number, since it is smaller than the sum of its proper divisors (77163380).

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

45106572 is a wasteful number, since it uses less digits than its factorization.

45106572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 45106572 is about 6716.1426429164. The cubic root of 45106572 is about 355.9698981407.

The spelling of 45106572 in words is "forty-five million, one hundred six thousand, five hundred seventy-two".