46572 has 12 divisors (see below), whose sum is σ = 108696. Its totient is φ = 15520.

The previous prime is 46567. The next prime is 46573. The reversal of 46572 is 27564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (46573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1929 + ... + 1952.

It is an arithmetic number, because the mean of its divisors is an integer number (9058).

2⁴⁶⁵⁷² is an apocalyptic number.

It is an amenable number.

46572 is an abundant number, since it is smaller than the sum of its proper divisors (62124).

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 (54348).

46572 is a wasteful number, since it uses less digits than its factorization.

46572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3886 counting only the distinct ones).

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

The square root of 46572 is about 215.8054679567. The cubic root of 46572 is about 35.9783820828.

The spelling of 46572 in words is "forty-six thousand, five hundred seventy-two".