47088672 has 48 divisors (see below), whose sum is σ = 125469792. Its totient is φ = 15459840.

The previous prime is 47088647. The next prime is 47088677. The reversal of 47088672 is 27688074.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (47088677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2772 + ... + 10092.

It is an arithmetic number, because the mean of its divisors is an integer number (2613954).

Almost surely, 2^47088672 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 47088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62734896).

47088672 is an abundant number, since it is smaller than the sum of its proper divisors (78381120).

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

47088672 is a wasteful number, since it uses less digits than its factorization.

47088672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 47088672 is about 6862.1186232825. The cubic root of 47088672 is about 361.1094170878.

The spelling of 47088672 in words is "forty-seven million, eighty-eight thousand, six hundred seventy-two".