372521 has 6 divisors (see below), whose sum is σ = 396030. Its totient is φ = 350336.

The previous prime is 372511. The next prime is 372523. The reversal of 372521 is 125273.

It can be written as a sum of positive squares in 3 ways, for example, as 212521 + 160000 = 461^2 + 400^2 .

It is not a de Polignac number, because 372521 - 2¹⁴ = 356137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 372493 and 372502.

It is not an unprimeable number, because it can be changed into a prime (372523) 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 5 ways as a sum of consecutive naturals, for example, 356 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (66005).

2³⁷²⁵²¹ is an apocalyptic number.

It is an amenable number.

372521 is a deficient number, since it is larger than the sum of its proper divisors (23509).

372521 is a wasteful number, since it uses less digits than its factorization.

372521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1306 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 372521 is about 610.3449844146. The cubic root of 372521 is about 71.9532232176.

Adding to 372521 its reverse (125273), we get a palindrome (497794).

The spelling of 372521 in words is "three hundred seventy-two thousand, five hundred twenty-one".