45915072 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 12966912.

The previous prime is 45915053. The next prime is 45915073. The reversal of 45915072 is 27051954.

45915072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45915073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170554 + ... + 170822.

Almost surely, 2^45915072 is an apocalyptic number.

45915072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

45915072 is an abundant number, since it is smaller than the sum of its proper divisors (94536768).

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

45915072 is a wasteful number, since it uses less digits than its factorization.

45915072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 45915072 is about 6776.0661153799. The cubic root of 45915072 is about 358.0841432212.

The spelling of 45915072 in words is "forty-five million, nine hundred fifteen thousand, seventy-two".