71652025 has 24 divisors (see below), whose sum is σ = 95880024. Its totient is φ = 52915200.

The previous prime is 71652001. The next prime is 71652041. The reversal of 71652025 is 52025617.

It can be written as a sum of positive squares in 12 ways, for example, as 18113536 + 53538489 = 4256^2 + 7317^2 .

It is not a de Polignac number, because 71652025 - 2⁷ = 71651897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71651984 and 71652002.

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, 20935 + ... + 24115.

It is an arithmetic number, because the mean of its divisors is an integer number (3995001).

Almost surely, 2^71652025 is an apocalyptic number.

It is an amenable number.

71652025 is a deficient number, since it is larger than the sum of its proper divisors (24227999).

71652025 is a wasteful number, since it uses less digits than its factorization.

71652025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 71652025 is about 8464.7519160339. The cubic root of 71652025 is about 415.3454809294.

Adding to 71652025 its product of nonzero digits (4200), we get a square (71656225 = 8465²).

The spelling of 71652025 in words is "seventy-one million, six hundred fifty-two thousand, twenty-five".