369720 has 96 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 89856.

The previous prime is 369709. The next prime is 369731. The reversal of 369720 is 27963.

It is an interprime number because it is at equal distance from previous prime (369709) and next prime (369731).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369720.

It is an unprimeable number.

369720 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 23 ways as a sum of consecutive naturals, for example, 4641 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2³⁶⁹⁷²⁰ is an apocalyptic number.

369720 is a gapful number since it is divisible by the number (30) 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 369720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

369720 is an abundant number, since it is smaller than the sum of its proper divisors (940680).

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

369720 is a wasteful number, since it uses less digits than its factorization.

369720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 369720 is about 608.0460508876. The cubic root of 369720 is about 71.7724296243.

It can be divided in two parts, 369 and 720, that added together give a square (1089 = 33²).

The spelling of 369720 in words is "three hundred sixty-nine thousand, seven hundred twenty".