45015872 has 42 divisors (see below), whose sum is σ = 98204274. Its totient is φ = 20458240.

The previous prime is 45015851. The next prime is 45015877. The reversal of 45015872 is 27851054.

It can be written as a sum of positive squares in only one way, i.e., 41267776 + 3748096 = 6424^2 + 1936^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45015877) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4838 + ... + 10650.

It is an arithmetic number, because the mean of its divisors is an integer number (2338197).

Almost surely, 2^45015872 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 45015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49102137).

45015872 is an abundant number, since it is smaller than the sum of its proper divisors (53188402).

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

45015872 is a wasteful number, since it uses less digits than its factorization.

45015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 45015872 is about 6709.3868572322. The cubic root of 45015872 is about 355.7311440597.

The spelling of 45015872 in words is "forty-five million, fifteen thousand, eight hundred seventy-two".