47972052 has 18 divisors (see below), whose sum is σ = 121262778. Its totient is φ = 15990672.

The previous prime is 47972051. The next prime is 47972053. The reversal of 47972052 is 25027974.

It is an interprime number because it is at equal distance from previous prime (47972051) and next prime (47972053).

It can be written as a sum of positive squares in only one way, i.e., 47941776 + 30276 = 6924^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1332557 = 47972052 / (4 + 7 + 9 + 7 + 2 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 47971998 and 47972016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47972051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666243 + ... + 666314.

It is an arithmetic number, because the mean of its divisors is an integer number (6736821).

Almost surely, 2^47972052 is an apocalyptic number.

It is an amenable number.

47972052 is an abundant number, since it is smaller than the sum of its proper divisors (73290726).

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

47972052 is a wasteful number, since it uses less digits than its factorization.

47972052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332567 (or 1332562 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 47972052 is about 6926.1859634289. The cubic root of 47972052 is about 363.3535703081.

The spelling of 47972052 in words is "forty-seven million, nine hundred seventy-two thousand, fifty-two".