369972 has 36 divisors (see below), whose sum is σ = 960960. Its totient is φ = 119952.

The previous prime is 369961. The next prime is 369979. The reversal of 369972 is 279963.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1429 + ... + 1667.

2³⁶⁹⁹⁷² 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 369972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480480).

369972 is an abundant number, since it is smaller than the sum of its proper divisors (590988).

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

369972 is a wasteful number, since it uses less digits than its factorization.

369972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 369972 is about 608.2532367361. The cubic root of 369972 is about 71.7887325424.

Subtracting from 369972 its reverse (279963), we obtain a palindrome (90009).

The spelling of 369972 in words is "three hundred sixty-nine thousand, nine hundred seventy-two".