882372 has 36 divisors (see below), whose sum is σ = 2167760. Its totient is φ = 279312.

The previous prime is 882367. The next prime is 882377. The reversal of 882372 is 273288.

It is an interprime number because it is at equal distance from previous prime (882367) and next prime (882377).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (5376) is a multiple of the sum of its prime factors (192).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (882377) by changing a digit.

882372 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6279 + ... + 6417.

2⁸⁸²³⁷² 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 882372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083880).

882372 is an abundant number, since it is smaller than the sum of its proper divisors (1285388).

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

882372 is a wasteful number, since it uses less digits than its factorization.

882372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 882372 is about 939.3465814065. The cubic root of 882372 is about 95.9144202599.

The spelling of 882372 in words is "eight hundred eighty-two thousand, three hundred seventy-two".