47035872 has 144 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 13602816.

The previous prime is 47035853. The next prime is 47035907. The reversal of 47035872 is 27853074.

47035872 is a `hidden beast` number, since 4 + 70 + 3 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63279 + ... + 64017.

It is an arithmetic number, because the mean of its divisors is an integer number (1060605).

Almost surely, 2^47035872 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 47035872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

47035872 is an abundant number, since it is smaller than the sum of its proper divisors (105691248).

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

47035872 is a wasteful number, since it uses less digits than its factorization.

47035872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 47035872 is about 6858.2703358792. The cubic root of 47035872 is about 360.9743972962.

The spelling of 47035872 in words is "forty-seven million, thirty-five thousand, eight hundred seventy-two".