36735721 has 27 divisors (see below), whose sum is σ = 44136183. Its totient is φ = 30547440.

The previous prime is 36735719. The next prime is 36735739. The reversal of 36735721 is 12753763.

The square root of 36735721 is 6061.

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

It can be written as a sum of positive squares in only one way, i.e., 19263321 + 17472400 = 4389^2 + 4180^2 .

It is not a de Polignac number, because 36735721 - 2¹ = 36735719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36735781) 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 26 ways as a sum of consecutive naturals, for example, 1266735 + ... + 1266763.

Almost surely, 2^36735721 is an apocalyptic number.

36735721 is the 6061-st square number.

36735721 is the 3031-st centered octagonal number.

It is an amenable number.

36735721 is a deficient number, since it is larger than the sum of its proper divisors (7400462).

36735721 is a wasteful number, since it uses less digits than its factorization.

36735721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its digits is 26460, while the sum is 34.

The cubic root of 36735721 is about 332.4269227157.

The spelling of 36735721 in words is "thirty-six million, seven hundred thirty-five thousand, seven hundred twenty-one".