46752 has 24 divisors (see below), whose sum is σ = 122976. Its totient is φ = 15552.

The previous prime is 46751. The next prime is 46757. The reversal of 46752 is 25764.

It is a happy number.

46752 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46752.

It is not an unprimeable number, because it can be changed into a prime (46751) 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 3 ways as a sum of consecutive naturals, for example, 148 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (5124).

2⁴⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

46752 is an abundant number, since it is smaller than the sum of its proper divisors (76224).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61488).

46752 is a wasteful number, since it uses less digits than its factorization.

46752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

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

The square root of 46752 is about 216.2221080278. Note that the first 3 decimals coincide. The cubic root of 46752 is about 36.0246744423.

The spelling of 46752 in words is "forty-six thousand, seven hundred fifty-two".