47712672 has 240 divisors, whose sum is σ = 169404480. Its totient is φ = 13039488.

The previous prime is 47712653. The next prime is 47712683. The reversal of 47712672 is 27621774.

It is a happy number.

It is a super-4 number, since 4×47712672⁴ (a number of 32 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2074453 + ... + 2074475.

It is an arithmetic number, because the mean of its divisors is an integer number (705852).

Almost surely, 2^47712672 is an apocalyptic number.

47712672 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 47712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84702240).

47712672 is an abundant number, since it is smaller than the sum of its proper divisors (121691808).

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

47712672 is an equidigital number, since it uses as much as digits as its factorization.

47712672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 35 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 47712672 is about 6907.4359931888. The cubic root of 47712672 is about 362.6975145569.

It can be divided in two parts, 47712 and 672, that added together give a palindrome (48384).

The spelling of 47712672 in words is "forty-seven million, seven hundred twelve thousand, six hundred seventy-two".