47071872 has 96 divisors (see below), whose sum is σ = 140224500. Its totient is φ = 15138816.

The previous prime is 47071859. The next prime is 47071883. The reversal of 47071872 is 27817074.

47071872 is a `hidden beast` number, since 470 + 7 + 187 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 4769856 = 6504^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×47071872² = 4431522267168768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32704 + ... + 34112.

Almost surely, 2^47071872 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 47071872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70112250).

47071872 is an abundant number, since it is smaller than the sum of its proper divisors (93152628).

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

47071872 is a wasteful number, since it uses less digits than its factorization.

47071872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 47071872 is about 6860.8944023356. The cubic root of 47071872 is about 361.0664671980.

The spelling of 47071872 in words is "forty-seven million, seventy-one thousand, eight hundred seventy-two".