36723973225 has 9 divisors (see below), whose sum is σ = 45538914967. Its totient is φ = 29378412040.

The previous prime is 36723973219. The next prime is 36723973277. The reversal of 36723973225 is 52237932763.

The square root of 36723973225 is 191635.

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

36723973225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13220630361 + 23503342864 = 114981^2 + 153308^2 .

It is not a de Polignac number, because 36723973225 - 2³ = 36723973217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 939012 + ... + 977338.

Almost surely, 2^36723973225 is an apocalyptic number.

36723973225 is the 191635-th square number.

36723973225 is the 95818-th centered octagonal number.

It is an amenable number.

36723973225 is a deficient number, since it is larger than the sum of its proper divisors (8814941742).

36723973225 is an frugal number, since it uses more digits than its factorization.

36723973225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76664 (or 38332 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 49.

Multiplying 36723973225 by its sum of digits (49), we get a square (1799474688025 = 1341445²).

The spelling of 36723973225 in words is "thirty-six billion, seven hundred twenty-three million, nine hundred seventy-three thousand, two hundred twenty-five".