45957672 has 64 divisors (see below), whose sum is σ = 128304000. Its totient is φ = 15242112.

The previous prime is 45957649. The next prime is 45957683. The reversal of 45957672 is 27675954.

45957672 is a `hidden beast` number, since 4 + 5 + 9 + 576 + 72 = 666.

It is a super-2 number, since 2×45957672² = 4224215231319168, which contains 22 as substring.

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, 56404 + ... + 57212.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^45957672 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 45957672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152000).

45957672 is an abundant number, since it is smaller than the sum of its proper divisors (82346328).

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

45957672 is a wasteful number, since it uses less digits than its factorization.

45957672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 45957672 is about 6779.2088033929. The cubic root of 45957672 is about 358.1948524690.

The spelling of 45957672 in words is "forty-five million, nine hundred fifty-seven thousand, six hundred seventy-two".