47472096 has 96 divisors (see below), whose sum is σ = 145974528. Its totient is φ = 13224960.

The previous prime is 47472079. The next prime is 47472097. The reversal of 47472096 is 69027474.

47472096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47472097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26691 + ... + 28413.

It is an arithmetic number, because the mean of its divisors is an integer number (1520568).

Almost surely, 2^47472096 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 47472096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72987264).

47472096 is an abundant number, since it is smaller than the sum of its proper divisors (98502432).

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

47472096 is a wasteful number, since it uses less digits than its factorization.

47472096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 47472096 is about 6889.9997097242. Note that the first 3 decimals coincide. The cubic root of 47472096 is about 362.0868914256.

The spelling of 47472096 in words is "forty-seven million, four hundred seventy-two thousand, ninety-six".