47760752 has 60 divisors (see below), whose sum is σ = 106198560. Its totient is φ = 20726784.

The previous prime is 47760751. The next prime is 47760781. The reversal of 47760752 is 25706774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47760751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45449 + ... + 46487.

It is an arithmetic number, because the mean of its divisors is an integer number (1769976).

Almost surely, 2^47760752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47760752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53099280).

47760752 is an abundant number, since it is smaller than the sum of its proper divisors (58437808).

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

47760752 is a wasteful number, since it uses less digits than its factorization.

47760752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 47760752 is about 6910.9154241678. The cubic root of 47760752 is about 362.8193036014.

The spelling of 47760752 in words is "forty-seven million, seven hundred sixty thousand, seven hundred fifty-two".