71882953 has 8 divisors (see below), whose sum is σ = 76190760. Its totient is φ = 67584000.

The previous prime is 71882933. The next prime is 71882957. The reversal of 71882953 is 35928817.

It can be written as a sum of positive squares in 4 ways, for example, as 3523129 + 68359824 = 1877^2 + 8268^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71882953 - 2⁹ = 71882441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71882957) 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 7 ways as a sum of consecutive naturals, for example, 22453 + ... + 25453.

It is an arithmetic number, because the mean of its divisors is an integer number (9523845).

Almost surely, 2^71882953 is an apocalyptic number.

It is an amenable number.

71882953 is a deficient number, since it is larger than the sum of its proper divisors (4307807).

71882953 is a wasteful number, since it uses less digits than its factorization.

71882953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427.

The product of its digits is 120960, while the sum is 43.

The square root of 71882953 is about 8478.3815082833. The cubic root of 71882953 is about 415.7912094050.

The spelling of 71882953 in words is "seventy-one million, eight hundred eighty-two thousand, nine hundred fifty-three".