37072121 has 12 divisors (see below), whose sum is σ = 40668732. Its totient is φ = 33675264.

The previous prime is 37072117. The next prime is 37072127. The reversal of 37072121 is 12127073.

It can be written as a sum of positive squares in 6 ways, for example, as 1836025 + 35236096 = 1355^2 + 5936^2 .

It is not a de Polignac number, because 37072121 - 2² = 37072117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37072127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13001 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (3389061).

Almost surely, 2^37072121 is an apocalyptic number.

It is an amenable number.

37072121 is a deficient number, since it is larger than the sum of its proper divisors (3596611).

37072121 is a wasteful number, since it uses less digits than its factorization.

37072121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 37072121 is about 6088.6879539027. The cubic root of 37072121 is about 333.4385520058.

Adding to 37072121 its reverse (12127073), we get a palindrome (49199194).

The spelling of 37072121 in words is "thirty-seven million, seventy-two thousand, one hundred twenty-one".