94752 has 72 divisors (see below), whose sum is σ = 314496. Its totient is φ = 26496.

The previous prime is 94747. The next prime is 94771. The reversal of 94752 is 25749.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (2520) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is an unprimeable number.

94752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993 + ... + 2039.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁹⁴⁷⁵² 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 94752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

94752 is an abundant number, since it is smaller than the sum of its proper divisors (219744).

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

94752 is a wasteful number, since it uses less digits than its factorization.

94752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 94752 is about 307.8181281211. The cubic root of 94752 is about 45.5892864951.

It can be divided in two parts, 947 and 52, that added together give a palindrome (999).

The spelling of 94752 in words is "ninety-four thousand, seven hundred fifty-two".