37372 has 6 divisors (see below), whose sum is σ = 65408. Its totient is φ = 18684.

The previous prime is 37369. The next prime is 37379. The reversal of 37372 is 27373.

It is a d-powerful number, because it can be written as 3² + 7 + 3⁷ + 7⁴ + 2¹⁵ .

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 37372.

It is not an unprimeable number, because it can be changed into a prime (37379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4668 + ... + 4675.

2³⁷³⁷² is an apocalyptic number.

It is an amenable number.

37372 is a deficient number, since it is larger than the sum of its proper divisors (28036).

37372 is a wasteful number, since it uses less digits than its factorization.

37372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9347 (or 9345 counting only the distinct ones).

The product of its digits is 882, while the sum is 22.

The square root of 37372 is about 193.3183902271. The cubic root of 37372 is about 33.4335207947.

Subtracting from 37372 its reverse (27373), we obtain a palindrome (9999).

The spelling of 37372 in words is "thirty-seven thousand, three hundred seventy-two".