47725600 has 108 divisors (see below), whose sum is σ = 126519246. Its totient is φ = 17571840.

The previous prime is 47725591. The next prime is 47725637. The reversal of 47725600 is 652774.

It can be written as a sum of positive squares in 9 ways, for example, as 1648656 + 46076944 = 1284^2 + 6788^2 .

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, 135024 + ... + 135376.

Almost surely, 2^47725600 is an apocalyptic number.

47725600 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 47725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63259623).

47725600 is an abundant number, since it is smaller than the sum of its proper divisors (78793646).

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

47725600 is a wasteful number, since it uses less digits than its factorization.

47725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 47725600 is about 6908.3717329049. The cubic root of 47725600 is about 362.7302698666.

The spelling of 47725600 in words is "forty-seven million, seven hundred twenty-five thousand, six hundred".