361372 has 24 divisors (see below), whose sum is σ = 709632. Its totient is φ = 159600.

The previous prime is 361363. The next prime is 361373. The reversal of 361372 is 273163.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361373) by changing a digit.

361372 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, 1797 + ... + 1987.

It is an arithmetic number, because the mean of its divisors is an integer number (29568).

2³⁶¹³⁷² is an apocalyptic number.

It is an amenable number.

361372 is a deficient number, since it is larger than the sum of its proper divisors (348260).

361372 is a wasteful number, since it uses less digits than its factorization.

361372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 361372 is about 601.1422460616. The cubic root of 361372 is about 71.2281229644.

Subtracting from 361372 its reverse (273163), we obtain a square (88209 = 297²).

The spelling of 361372 in words is "three hundred sixty-one thousand, three hundred seventy-two".