73560 has 32 divisors (see below), whose sum is σ = 221040. Its totient is φ = 19584.

The previous prime is 73553. The next prime is 73561. The reversal of 73560 is 6537.

It is a super-2 number, since 2×73560² = 10822147200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 426.

2⁷³⁵⁶⁰ is an apocalyptic number.

It is an amenable number.

73560 is an abundant number, since it is smaller than the sum of its proper divisors (147480).

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 (110520).

73560 is a wasteful number, since it uses less digits than its factorization.

73560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73560 is about 271.2194683278. The cubic root of 73560 is about 41.8999887978.

It can be divided in two parts, 735 and 60, that multiplied together give a square (44100 = 210²).

The spelling of 73560 in words is "seventy-three thousand, five hundred sixty".