72276 has 24 divisors (see below), whose sum is σ = 178080. Its totient is φ = 22752.

The previous prime is 72271. The next prime is 72277. The reversal of 72276 is 67227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72271) by changing a digit.

72276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 70 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (7420).

2⁷²²⁷⁶ is an apocalyptic number.

72276 is a gapful number since it is divisible by the number (76) 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 72276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89040).

72276 is an abundant number, since it is smaller than the sum of its proper divisors (105804).

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

72276 is a wasteful number, since it uses less digits than its factorization.

72276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 72276 is about 268.8419610106. The cubic root of 72276 is about 41.6547663793.

It can be divided in two parts, 722 and 76, that multiplied together give a cube (54872 = 38³).

The spelling of 72276 in words is "seventy-two thousand, two hundred seventy-six".