47644272 has 120 divisors (see below), whose sum is σ = 148407168. Its totient is φ = 14169600.

The previous prime is 47644249. The next prime is 47644273. The reversal of 47644272 is 27244674.

It is a happy number.

47644272 is a `hidden beast` number, since 4 + 7 + 644 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47644273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57622 + ... + 58442.

Almost surely, 2^47644272 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 47644272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74203584).

47644272 is an abundant number, since it is smaller than the sum of its proper divisors (100762896).

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

47644272 is a wasteful number, since it uses less digits than its factorization.

47644272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 47644272 is about 6902.4830314895. The cubic root of 47644272 is about 362.5241128629.

The spelling of 47644272 in words is "forty-seven million, six hundred forty-four thousand, two hundred seventy-two".