45955072 has 48 divisors (see below), whose sum is σ = 96805800. Its totient is φ = 21749760.

The previous prime is 45955067. The next prime is 45955087. The reversal of 45955072 is 27055954.

It is a super-2 number, since 2×45955072² = 4223737285050368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38322 + ... + 39502.

Almost surely, 2^45955072 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 45955072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48402900).

45955072 is an abundant number, since it is smaller than the sum of its proper divisors (50850728).

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

45955072 is a wasteful number, since it uses less digits than its factorization.

45955072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 45955072 is about 6779.0170378898. The cubic root of 45955072 is about 358.1880975274.

The spelling of 45955072 in words is "forty-five million, nine hundred fifty-five thousand, seventy-two".