72660 has 48 divisors (see below), whose sum is σ = 233856. Its totient is φ = 16512.

The previous prime is 72649. The next prime is 72661. The reversal of 72660 is 6627.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

2⁷²⁶⁶⁰ is an apocalyptic number.

72660 is a gapful number since it is divisible by the number (70) 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 72660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928).

72660 is an abundant number, since it is smaller than the sum of its proper divisors (161196).

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

72660 is a wasteful number, since it uses less digits than its factorization.

72660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72660 is about 269.5551891543. Note that the first 3 decimals coincide. The cubic root of 72660 is about 41.7284062500.

The spelling of 72660 in words is "seventy-two thousand, six hundred sixty".