72610 has 16 divisors (see below), whose sum is σ = 134136. Its totient is φ = 28288.

The previous prime is 72577. The next prime is 72613. The reversal of 72610 is 1627.

It can be written as a sum of positive squares in 4 ways, for example, as 66049 + 6561 = 257^2 + 81^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) by changing a digit.

72610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 462 + ... + 598.

2⁷²⁶¹⁰ is an apocalyptic number.

72610 is a deficient number, since it is larger than the sum of its proper divisors (61526).

72610 is a wasteful number, since it uses less digits than its factorization.

72610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72610 is about 269.4624278077. The cubic root of 72610 is about 41.7188324401.

The spelling of 72610 in words is "seventy-two thousand, six hundred ten".