47272405752 has 192 divisors, whose sum is σ = 153251935200. Its totient is φ = 12973409280.

The previous prime is 47272405751. The next prime is 47272405813. The reversal of 47272405752 is 25750427274.

47272405752 is a `hidden beast` number, since 4 + 7 + 2 + 72 + 4 + 0 + 575 + 2 = 666.

47272405752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47272405698 and 47272405707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47272405751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502374 + ... + 589002.

Almost surely, 2^47272405752 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 47272405752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76625967600).

47272405752 is an abundant number, since it is smaller than the sum of its proper divisors (105979529448).

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

47272405752 is a wasteful number, since it uses less digits than its factorization.

47272405752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86718 (or 86711 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 47272405752 in words is "forty-seven billion, two hundred seventy-two million, four hundred five thousand, seven hundred fifty-two".