35872272025 has 24 divisors (see below), whose sum is σ = 44732014200. Its totient is φ = 28536668160.

The previous prime is 35872272019. The next prime is 35872272031. The reversal of 35872272025 is 52027227853.

35872272025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35872272019) and next prime (35872272031).

It can be written as a sum of positive squares in 12 ways, for example, as 3780774144 + 32091497881 = 61488^2 + 179141^2 .

It is not a de Polignac number, because 35872272025 - 2⁵ = 35872271993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3959701 + ... + 3968749.

It is an arithmetic number, because the mean of its divisors is an integer number (1863833925).

Almost surely, 2^35872272025 is an apocalyptic number.

It is an amenable number.

35872272025 is a deficient number, since it is larger than the sum of its proper divisors (8859742175).

35872272025 is a wasteful number, since it uses less digits than its factorization.

35872272025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

Adding to 35872272025 its reverse (52027227853), we get a palindrome (87899499878).

The spelling of 35872272025 in words is "thirty-five billion, eight hundred seventy-two million, two hundred seventy-two thousand, twenty-five".