71956953 has 12 divisors (see below), whose sum is σ = 106149888. Its totient is φ = 46950360.

The previous prime is 71956943. The next prime is 71956961. The reversal of 71956953 is 35965917.

It is not a de Polignac number, because 71956953 - 2⁶ = 71956889 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 71956899 and 71956908.

It is not an unprimeable number, because it can be changed into a prime (71956943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84633 + ... + 85478.

It is an arithmetic number, because the mean of its divisors is an integer number (8845824).

Almost surely, 2^71956953 is an apocalyptic number.

It is an amenable number.

71956953 is a deficient number, since it is larger than the sum of its proper divisors (34192935).

71956953 is a wasteful number, since it uses less digits than its factorization.

71956953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170164 (or 170161 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 71956953 is about 8482.7444261866. The cubic root of 71956953 is about 415.9338394075.

The spelling of 71956953 in words is "seventy-one million, nine hundred fifty-six thousand, nine hundred fifty-three".