47652 has 36 divisors (see below), whose sum is σ = 128016. Its totient is φ = 13680.

The previous prime is 47639. The next prime is 47653. The reversal of 47652 is 25674.

It is a happy number.

It is a d-powerful number, because it can be written as 4² + 7³ + 6⁶ + 5³ + 2⁹ .

It is an alternating number because its digits alternate between even and odd.

47652 is a Rhonda number in base 9.

Its product of digits (1680) is a multiple of the sum of its prime divisors (35).

It is not an unprimeable number, because it can be changed into a prime (47653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2499 + ... + 2517.

It is an arithmetic number, because the mean of its divisors is an integer number (3556).

47652 is a Friedman number, since it can be written as 76*(5^4+2), using all its digits and the basic arithmetic operations.

2⁴⁷⁶⁵² 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 47652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

47652 is an abundant number, since it is smaller than the sum of its proper divisors (80364).

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

47652 is a wasteful number, since it uses less digits than its factorization.

47652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 47652 is about 218.2933805684. The cubic root of 47652 is about 36.2543712525.

It can be divided in two parts, 476 and 52, that added together give a triangular number (528 = T₃₂).

The spelling of 47652 in words is "forty-seven thousand, six hundred fifty-two".