37072036681 has 9 divisors (see below), whose sum is σ = 38312653869. Its totient is φ = 35870388300.

The previous prime is 37072036679. The next prime is 37072036711. The reversal of 37072036681 is 18663027073.

The square root of 37072036681 is 192541.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 37072036681 - 2¹ = 37072036679 is a prime.

It is a super-2 number, since 2×37072036681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37072036601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5965666 + ... + 5971876.

It is an arithmetic number, because the mean of its divisors is an integer number (4256961541).

Almost surely, 2^37072036681 is an apocalyptic number.

37072036681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

37072036681 is the 192541-st square number.

37072036681 is the 96271-st centered octagonal number.

It is an amenable number.

37072036681 is a deficient number, since it is larger than the sum of its proper divisors (1240617188).

37072036681 is an frugal number, since it uses more digits than its factorization.

37072036681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12484 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 37072036681 in words is "thirty-seven billion, seventy-two million, thirty-six thousand, six hundred eighty-one".