45760872 has 64 divisors (see below), whose sum is σ = 123249600. Its totient is φ = 14105600.

The previous prime is 45760861. The next prime is 45760907. The reversal of 45760872 is 27806754.

It is a super-3 number, since 3×45760872³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45760872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23122 + ... + 25022.

It is an arithmetic number, because the mean of its divisors is an integer number (1925775).

Almost surely, 2^45760872 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 45760872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61624800).

45760872 is an abundant number, since it is smaller than the sum of its proper divisors (77488728).

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

45760872 is a wasteful number, since it uses less digits than its factorization.

45760872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 45760872 is about 6764.6782628592. The cubic root of 45760872 is about 357.6828334355.

The spelling of 45760872 in words is "forty-five million, seven hundred sixty thousand, eight hundred seventy-two".