37572133 has 8 divisors (see below), whose sum is σ = 39268800. Its totient is φ = 35880768.

The previous prime is 37572127. The next prime is 37572169. The reversal of 37572133 is 33127573.

37572133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37572133 - 2¹³ = 37563941 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37572095 and 37572104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37572103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22398 + ... + 24016.

It is an arithmetic number, because the mean of its divisors is an integer number (4908600).

Almost surely, 2^37572133 is an apocalyptic number.

It is an amenable number.

37572133 is a deficient number, since it is larger than the sum of its proper divisors (1696667).

37572133 is a wasteful number, since it uses less digits than its factorization.

37572133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651.

The product of its digits is 13230, while the sum is 31.

The square root of 37572133 is about 6129.6111622190. The cubic root of 37572133 is about 334.9309518344.

The spelling of 37572133 in words is "thirty-seven million, five hundred seventy-two thousand, one hundred thirty-three".