45919872 has 160 divisors (see below), whose sum is σ = 141192480. Its totient is φ = 14805504.

The previous prime is 45919843. The next prime is 45919879. The reversal of 45919872 is 27891954.

45919872 is a `hidden beast` number, since 459 + 198 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (45919879) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445773 + ... + 445875.

It is an arithmetic number, because the mean of its divisors is an integer number (882453).

Almost surely, 2^45919872 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 45919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70596240).

45919872 is an abundant number, since it is smaller than the sum of its proper divisors (95272608).

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

45919872 is a wasteful number, since it uses less digits than its factorization.

45919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 45919872 is about 6776.4202939310. The cubic root of 45919872 is about 358.0966209249.

The spelling of 45919872 in words is "forty-five million, nine hundred nineteen thousand, eight hundred seventy-two".