47725120 has 112 divisors (see below), whose sum is σ = 124651008. Its totient is φ = 17326080.

The previous prime is 47725109. The next prime is 47725121. The reversal of 47725120 is 2152774.

It is not an unprimeable number, because it can be changed into a prime (47725121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168499 + ... + 168781.

Almost surely, 2^47725120 is an apocalyptic number.

47725120 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 47725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62325504).

47725120 is an abundant number, since it is smaller than the sum of its proper divisors (76925888).

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

47725120 is a wasteful number, since it uses less digits than its factorization.

47725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 47725120 is about 6908.3369923593. The cubic root of 47725120 is about 362.7290538098.

Adding to 47725120 its reverse (2152774), we get a palindrome (49877894).

The spelling of 47725120 in words is "forty-seven million, seven hundred twenty-five thousand, one hundred twenty".