71933625 has 48 divisors (see below), whose sum is σ = 132777216. Its totient is φ = 37447200.

The previous prime is 71933623. The next prime is 71933629. The reversal of 71933625 is 52633917.

It is not a de Polignac number, because 71933625 - 2¹ = 71933623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 71933625.

It is not an unprimeable number, because it can be changed into a prime (71933623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47632 + ... + 49118.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2^71933625 is an apocalyptic number.

71933625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71933625 is a deficient number, since it is larger than the sum of its proper divisors (60843591).

71933625 is a wasteful number, since it uses less digits than its factorization.

71933625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1538 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 71933625 is about 8481.3692880336. The cubic root of 71933625 is about 415.8888868216. Note that the first 5 decimals are identical.

The spelling of 71933625 in words is "seventy-one million, nine hundred thirty-three thousand, six hundred twenty-five".