47592144 has 80 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 15471360.

The previous prime is 47592143. The next prime is 47592187. The reversal of 47592144 is 44129574.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 47592099 and 47592108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47592143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16369 + ... + 19055.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^47592144 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 47592144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

47592144 is an abundant number, since it is smaller than the sum of its proper divisors (92398896).

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

47592144 is a wasteful number, since it uses less digits than its factorization.

47592144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2733 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 47592144 is about 6898.7059656141. The cubic root of 47592144 is about 362.3918510514.

It can be divided in two parts, 4759 and 2144, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 47592144 in words is "forty-seven million, five hundred ninety-two thousand, one hundred forty-four".