47737872 has 120 divisors (see below), whose sum is σ = 164475584. Its totient is φ = 12586752.

The previous prime is 47737843. The next prime is 47737897. The reversal of 47737872 is 27873774.

It is a nude number because it is divisible by every one of its digits.

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, 11283 + ... + 14925.

Almost surely, 2^47737872 is an apocalyptic number.

47737872 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 47737872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82237792).

47737872 is an abundant number, since it is smaller than the sum of its proper divisors (116737712).

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

47737872 is a wasteful number, since it uses less digits than its factorization.

47737872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3668 counting only the distinct ones).

The product of its digits is 460992, while the sum is 45.

The square root of 47737872 is about 6909.2598735320. The cubic root of 47737872 is about 362.7613576153.

The spelling of 47737872 in words is "forty-seven million, seven hundred thirty-seven thousand, eight hundred seventy-two".