71972523 has 24 divisors (see below), whose sum is σ = 124036560. Its totient is φ = 41126400.

The previous prime is 71972521. The next prime is 71972533. The reversal of 71972523 is 32527917.

It is not a de Polignac number, because 71972523 - 2¹ = 71972521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71972521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25878 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (5168190).

Almost surely, 2^71972523 is an apocalyptic number.

71972523 is a deficient number, since it is larger than the sum of its proper divisors (52064037).

71972523 is a wasteful number, since it uses less digits than its factorization.

71972523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54424 (or 54411 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 71972523 is about 8483.6621219848. The cubic root of 71972523 is about 415.9638370777.

The spelling of 71972523 in words is "seventy-one million, nine hundred seventy-two thousand, five hundred twenty-three".