45725600 has 72 divisors (see below), whose sum is σ = 113578668. Its totient is φ = 17971200.

The previous prime is 45725573. The next prime is 45725611. The reversal of 45725600 is 652754.

It can be written as a sum of positive squares in 6 ways, for example, as 190096 + 45535504 = 436^2 + 6748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48332 + ... + 49268.

Almost surely, 2^45725600 is an apocalyptic number.

45725600 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 45725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56789334).

45725600 is an abundant number, since it is smaller than the sum of its proper divisors (67853068).

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

45725600 is a wasteful number, since it uses less digits than its factorization.

45725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 45725600 is about 6762.0706887757. The cubic root of 45725600 is about 357.5909104220.

The spelling of 45725600 in words is "forty-five million, seven hundred twenty-five thousand, six hundred".