45576720 has 120 divisors (see below), whose sum is σ = 174947136. Its totient is φ = 10416384.

The previous prime is 45576709. The next prime is 45576737. The reversal of 45576720 is 2767554.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519 + ... + 9561.

Almost surely, 2^45576720 is an apocalyptic number.

45576720 is a gapful number since it is divisible by the number (40) 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 45576720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87473568).

45576720 is an abundant number, since it is smaller than the sum of its proper divisors (129370416).

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

45576720 is a wasteful number, since it uses less digits than its factorization.

45576720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9060 counting only the distinct ones).

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

The square root of 45576720 is about 6751.0532511601. The cubic root of 45576720 is about 357.2023897711.

The spelling of 45576720 in words is "forty-five million, five hundred seventy-six thousand, seven hundred twenty".