73572 has 12 divisors (see below), whose sum is σ = 171696. Its totient is φ = 24520.

The previous prime is 73571. The next prime is 73583. The reversal of 73572 is 27537.

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

It is a super-3 number, since 3×73572³ = 1194700213335744, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (73571) 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, 3054 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2⁷³⁵⁷² is an apocalyptic number.

It is an amenable number.

73572 is an abundant number, since it is smaller than the sum of its proper divisors (98124).

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 (85848).

73572 is a wasteful number, since it uses less digits than its factorization.

73572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138 (or 6136 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 73572 is about 271.2415897314. The cubic root of 73572 is about 41.9022670855.

The spelling of 73572 in words is "seventy-three thousand, five hundred seventy-two".