47642472 has 64 divisors (see below), whose sum is σ = 132921600. Its totient is φ = 15811200.

The previous prime is 47642459. The next prime is 47642477. The reversal of 47642472 is 27424674.

It is a happy number.

47642472 is a `hidden beast` number, since 4 + 7 + 642 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47642477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78972 + ... + 79572.

It is an arithmetic number, because the mean of its divisors is an integer number (2076900).

Almost surely, 2^47642472 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 47642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66460800).

47642472 is an abundant number, since it is smaller than the sum of its proper divisors (85279128).

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

47642472 is a wasteful number, since it uses less digits than its factorization.

47642472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 47642472 is about 6902.3526423966. The cubic root of 47642472 is about 362.5195474199.

The spelling of 47642472 in words is "forty-seven million, six hundred forty-two thousand, four hundred seventy-two".