47121792 has 96 divisors (see below), whose sum is σ = 130052040. Its totient is φ = 15114240.

The previous prime is 47121769. The next prime is 47121797. The reversal of 47121792 is 29712174.

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

It is a super-3 number, since 3×47121792³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47121797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645468 + ... + 645540.

Almost surely, 2^47121792 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 47121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026020).

47121792 is an abundant number, since it is smaller than the sum of its proper divisors (82930248).

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

47121792 is an equidigital number, since it uses as much as digits as its factorization.

47121792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 119 counting only the distinct ones).

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

The square root of 47121792 is about 6864.5314479577. The cubic root of 47121792 is about 361.1940598158.

The spelling of 47121792 in words is "forty-seven million, one hundred twenty-one thousand, seven hundred ninety-two".