162372 has 24 divisors (see below), whose sum is σ = 433216. Its totient is φ = 46368.

The previous prime is 162359. The next prime is 162389. The reversal of 162372 is 273261.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

162372 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, 883 + ... + 1050.

2¹⁶²³⁷² is an apocalyptic number.

162372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162372 is an abundant number, since it is smaller than the sum of its proper divisors (270844).

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

162372 is a wasteful number, since it uses less digits than its factorization.

162372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 162372 is about 402.9540916779. The cubic root of 162372 is about 54.5553123597. Note that the first 3 decimals are identical.

Subtracting 162372 from its reverse (273261), we obtain a square (110889 = 333²).

The spelling of 162372 in words is "one hundred sixty-two thousand, three hundred seventy-two".