47972652 has 96 divisors (see below), whose sum is σ = 139087872. Its totient is φ = 12531456.

The previous prime is 47972633. The next prime is 47972669. The reversal of 47972652 is 25627974.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215013 + ... + 215235.

It is an arithmetic number, because the mean of its divisors is an integer number (1448832).

Almost surely, 2^47972652 is an apocalyptic number.

47972652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47972652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69543936).

47972652 is an abundant number, since it is smaller than the sum of its proper divisors (91115220).

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

47972652 is a wasteful number, since it uses less digits than its factorization.

47972652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 445 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 47972652 is about 6926.2292771753. The cubic root of 47972652 is about 363.3550851570.

The spelling of 47972652 in words is "forty-seven million, nine hundred seventy-two thousand, six hundred fifty-two".