47082672 has 120 divisors (see below), whose sum is σ = 162218784. Its totient is φ = 12413952.

The previous prime is 47082661. The next prime is 47082697. The reversal of 47082672 is 27628074.

47082672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 11308 + ... + 14900.

Almost surely, 2^47082672 is an apocalyptic number.

47082672 is a gapful number since it is divisible by the number (42) 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 47082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81109392).

47082672 is an abundant number, since it is smaller than the sum of its proper divisors (115136112).

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

47082672 is a wasteful number, since it uses less digits than its factorization.

47082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47082672 is about 6861.6814265893. The cubic root of 47082672 is about 361.0940790143.

The spelling of 47082672 in words is "forty-seven million, eighty-two thousand, six hundred seventy-two".