45505872 has 120 divisors (see below), whose sum is σ = 139712040. Its totient is φ = 13762560.

The previous prime is 45505871. The next prime is 45505877. The reversal of 45505872 is 27850554.

It is a happy number.

45505872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22810176 + 22695696 = 4776^2 + 4764^2 .

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 (45505871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70672 + ... + 71312.

It is an arithmetic number, because the mean of its divisors is an integer number (1164267).

Almost surely, 2^45505872 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 45505872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69856020).

45505872 is an abundant number, since it is smaller than the sum of its proper divisors (94206168).

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

45505872 is a wasteful number, since it uses less digits than its factorization.

45505872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

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

The square root of 45505872 is about 6745.8040291725. The cubic root of 45505872 is about 357.0172060535.

It can be divided in two parts, 455058 and 72, that multiplied together give a square (32764176 = 5724²).

The spelling of 45505872 in words is "forty-five million, five hundred five thousand, eight hundred seventy-two".