45975720 has 128 divisors (see below), whose sum is σ = 160992000. Its totient is φ = 10499328.

The previous prime is 45975679. The next prime is 45975733. The reversal of 45975720 is 2757954.

It is a super-2 number, since 2×45975720² = 4227533659036800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40602 + ... + 41718.

It is an arithmetic number, because the mean of its divisors is an integer number (1257750).

Almost surely, 2^45975720 is an apocalyptic number.

45975720 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 45975720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80496000).

45975720 is an abundant number, since it is smaller than the sum of its proper divisors (115016280).

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

45975720 is a wasteful number, since it uses less digits than its factorization.

45975720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 45975720 is about 6780.5398015202. The cubic root of 45975720 is about 358.2417351356.

The spelling of 45975720 in words is "forty-five million, nine hundred seventy-five thousand, seven hundred twenty".