47937120 has 192 divisors, whose sum is σ = 188407296. Its totient is φ = 9953280.

The previous prime is 47937107. The next prime is 47937137. The reversal of 47937120 is 2173974.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 36312 + ... + 37608.

It is an arithmetic number, because the mean of its divisors is an integer number (981288).

Almost surely, 2^47937120 is an apocalyptic number.

47937120 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 47937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94203648).

47937120 is an abundant number, since it is smaller than the sum of its proper divisors (140470176).

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

47937120 is a wasteful number, since it uses less digits than its factorization.

47937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 47937120 is about 6923.6637699992. The cubic root of 47937120 is about 363.2653540206.

The spelling of 47937120 in words is "forty-seven million, nine hundred thirty-seven thousand, one hundred twenty".