68572 has 24 divisors (see below), whose sum is σ = 143360. Its totient is φ = 28080.

The previous prime is 68567. The next prime is 68581. The reversal of 68572 is 27586.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 68572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 907.

2⁶⁸⁵⁷² is an apocalyptic number.

68572 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71680).

68572 is an abundant number, since it is smaller than the sum of its proper divisors (74788).

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

68572 is a wasteful number, since it uses less digits than its factorization.

68572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 119 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 68572 is about 261.8625593704. The cubic root of 68572 is about 40.9306780194.

It can be divided in two parts, 6857 and 2, that added together give a cube (6859 = 19³).

The spelling of 68572 in words is "sixty-eight thousand, five hundred seventy-two".