45720576 has 198 divisors, whose sum is σ = 148649046. Its totient is φ = 13516800.

The previous prime is 45720523. The next prime is 45720581. The reversal of 45720576 is 67502754.

It can be written as a sum of positive squares in only one way, i.e., 27878400 + 17842176 = 5280^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45720576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115116 + ... + 1115156.

Almost surely, 2^45720576 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 45720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74324523).

45720576 is an abundant number, since it is smaller than the sum of its proper divisors (102928470).

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

45720576 is a wasteful number, since it uses less digits than its factorization.

45720576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45720576 is about 6761.6991947291. The cubic root of 45720576 is about 357.5778134367.

The spelling of 45720576 in words is "forty-five million, seven hundred twenty thousand, five hundred seventy-six".