47164672 has 36 divisors (see below), whose sum is σ = 97406820. Its totient is φ = 22765568.

The previous prime is 47164639. The next prime is 47164709. The reversal of 47164672 is 27646174.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 23970816 = 4816^2 + 4896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4248 + ... + 10600.

It is an arithmetic number, because the mean of its divisors is an integer number (2705745).

Almost surely, 2^47164672 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 47164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48703410).

47164672 is an abundant number, since it is smaller than the sum of its proper divisors (50242148).

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

47164672 is an equidigital number, since it uses as much as digits as its factorization.

47164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6384 counting only the distinct ones).

The product of its digits is 56448, while the sum is 37.

The square root of 47164672 is about 6867.6540390442. The cubic root of 47164672 is about 361.3035866756.

The spelling of 47164672 in words is "forty-seven million, one hundred sixty-four thousand, six hundred seventy-two".