47632032 has 72 divisors (see below), whose sum is σ = 154810656. Its totient is φ = 13608576.

The previous prime is 47631953. The next prime is 47632049. The reversal of 47632032 is 23023674.

47632032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 47631987 and 47632005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9798 + ... + 13829.

It is an arithmetic number, because the mean of its divisors is an integer number (2150148).

Almost surely, 2^47632032 is an apocalyptic number.

47632032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

47632032 is an abundant number, since it is smaller than the sum of its proper divisors (107178624).

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

47632032 is a wasteful number, since it uses less digits than its factorization.

47632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23650 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 47632032 is about 6901.5963370803. The cubic root of 47632032 is about 362.4930655828.

The spelling of 47632032 in words is "forty-seven million, six hundred thirty-two thousand, thirty-two".