72760 has 32 divisors (see below), whose sum is σ = 174960. Its totient is φ = 27136.

The previous prime is 72739. The next prime is 72763. The reversal of 72760 is 6727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627 + ... + 733.

2⁷²⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87480).

72760 is an abundant number, since it is smaller than the sum of its proper divisors (102200).

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

72760 is a wasteful number, since it uses less digits than its factorization.

72760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72760 is about 269.7406161482. The cubic root of 72760 is about 41.7475407016.

It can be divided in two parts, 727 and 60, that added together give a palindrome (787).

The spelling of 72760 in words is "seventy-two thousand, seven hundred sixty".