813372 has 48 divisors (see below), whose sum is σ = 2268672. Its totient is φ = 221760.

The previous prime is 813367. The next prime is 813377. The reversal of 813372 is 273318.

813372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (813367) and next prime (813377).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813377) by changing a digit.

813372 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 15 ways as a sum of consecutive naturals, for example, 1722 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (47264).

2⁸¹³³⁷² 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 813372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134336).

813372 is an abundant number, since it is smaller than the sum of its proper divisors (1455300).

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

813372 is a wasteful number, since it uses less digits than its factorization.

813372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 813372 is about 901.8713877267. The cubic root of 813372 is about 93.3461490338.

The spelling of 813372 in words is "eight hundred thirteen thousand, three hundred seventy-two".