47712192 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 12902400.

The previous prime is 47712157. The next prime is 47712199. The reversal of 47712192 is 29121774.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47712199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163692 + ... + 1163732.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^47712192 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 47712192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

47712192 is an abundant number, since it is smaller than the sum of its proper divisors (105907008).

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

47712192 is a wasteful number, since it uses less digits than its factorization.

47712192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 47712192 is about 6907.4012479369. The cubic root of 47712192 is about 362.6962982805.

The spelling of 47712192 in words is "forty-seven million, seven hundred twelve thousand, one hundred ninety-two".