47001792 has 56 divisors (see below), whose sum is σ = 125018800. Its totient is φ = 15584256.

The previous prime is 47001791. The next prime is 47001793. The reversal of 47001792 is 29710074.

It is an interprime number because it is at equal distance from previous prime (47001791) and next prime (47001793).

It is a super-2 number, since 2×47001792² = 4418336902422528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47001791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43434 + ... + 44502.

Almost surely, 2^47001792 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 47001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62509400).

47001792 is an abundant number, since it is smaller than the sum of its proper divisors (78017008).

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

47001792 is a wasteful number, since it uses less digits than its factorization.

47001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 47001792 is about 6855.7852941877. The cubic root of 47001792 is about 360.8871944920.

The spelling of 47001792 in words is "forty-seven million, one thousand, seven hundred ninety-two".