45811872 has 96 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 14367744.

The previous prime is 45811867. The next prime is 45811877. The reversal of 45811872 is 27811854.

45811872 is a `hidden beast` number, since 4 + 581 + 1 + 8 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (45811867) and next prime (45811877).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45811872² = 4197455232288768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45811877) 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, 13129 + ... + 16247.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^45811872 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 45811872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

45811872 is an abundant number, since it is smaller than the sum of its proper divisors (95711328).

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

45811872 is a wasteful number, since it uses less digits than its factorization.

45811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3141 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 45811872 is about 6768.4467937630. The cubic root of 45811872 is about 357.8156619935.

The spelling of 45811872 in words is "forty-five million, eight hundred eleven thousand, eight hundred seventy-two".