64572 has 12 divisors (see below), whose sum is σ = 150696. Its totient is φ = 21520.

The previous prime is 64567. The next prime is 64577. The reversal of 64572 is 27546.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64567) and next prime (64577).

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

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

It is a d-powerful number, because it can be written as 6⁵ + 4⁶ + 5⁵ + 7⁵ + 2¹⁵ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64577) by changing a digit.

64572 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 3 ways as a sum of consecutive naturals, for example, 2679 + ... + 2702.

It is an arithmetic number, because the mean of its divisors is an integer number (12558).

2⁶⁴⁵⁷² is an apocalyptic number.

It is an amenable number.

64572 is an abundant number, since it is smaller than the sum of its proper divisors (86124).

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 (75348).

64572 is a wasteful number, since it uses less digits than its factorization.

64572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5386 counting only the distinct ones).

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

The square root of 64572 is about 254.1102123095. The cubic root of 64572 is about 40.1188134016.

It can be divided in two parts, 645 and 72, that added together give a palindrome (717).

The spelling of 64572 in words is "sixty-four thousand, five hundred seventy-two".