47602872 has 48 divisors (see below), whose sum is σ = 130572000. Its totient is φ = 15664896.

The previous prime is 47602861. The next prime is 47602879. The reversal of 47602872 is 27820674.

47602872 is a `hidden beast` number, since 47 + 602 + 8 + 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 (47602879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2^47602872 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 47602872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65286000).

47602872 is an abundant number, since it is smaller than the sum of its proper divisors (82969128).

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

47602872 is a wasteful number, since it uses less digits than its factorization.

47602872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 47602872 is about 6899.4834589265. The cubic root of 47602872 is about 362.4190785681.

It can be divided in two parts, 476028 and 72, that added together give a square (476100 = 690²).

The spelling of 47602872 in words is "forty-seven million, six hundred two thousand, eight hundred seventy-two".