372561 has 16 divisors (see below), whose sum is σ = 576384. Its totient is φ = 209664.

The previous prime is 372539. The next prime is 372607. The reversal of 372561 is 165273.

It is not a de Polignac number, because 372561 - 2⁶ = 372497 is a prime.

372561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (372511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2295 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (36024).

2³⁷²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

372561 is a deficient number, since it is larger than the sum of its proper divisors (203823).

372561 is a wasteful number, since it uses less digits than its factorization.

372561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 1260, while the sum is 24.

The square root of 372561 is about 610.3777518881. The cubic root of 372561 is about 71.9557984871.

The spelling of 372561 in words is "three hundred seventy-two thousand, five hundred sixty-one".