45876672 has 112 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 15102720.

The previous prime is 45876671. The next prime is 45876713. The reversal of 45876672 is 27667854.

45876672 is a `hidden beast` number, since 4 + 587 + 6 + 67 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45876671) 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, 240097 + ... + 240287.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^45876672 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 45876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

45876672 is an abundant number, since it is smaller than the sum of its proper divisors (90673728).

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

45876672 is a wasteful number, since it uses less digits than its factorization.

45876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 45876672 is about 6773.2320202397. The cubic root of 45876672 is about 357.9842902712.

The spelling of 45876672 in words is "forty-five million, eight hundred seventy-six thousand, six hundred seventy-two".