72810 has 24 divisors (see below), whose sum is σ = 189540. Its totient is φ = 19392.

The previous prime is 72797. The next prime is 72817. The reversal of 72810 is 1827.

It can be written as a sum of positive squares in 2 ways, for example, as 71289 + 1521 = 267^2 + 39^2 .

It is a super-2 number, since 2×72810² = 10602592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72817) by changing a digit.

72810 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 11 ways as a sum of consecutive naturals, for example, 315 + ... + 494.

2⁷²⁸¹⁰ is an apocalyptic number.

72810 is an abundant number, since it is smaller than the sum of its proper divisors (116730).

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 (94770).

72810 is a wasteful number, since it uses less digits than its factorization.

72810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72810 is about 269.8332818612. The cubic root of 72810 is about 41.7571013534.

The spelling of 72810 in words is "seventy-two thousand, eight hundred ten".