71907993 has 20 divisors (see below), whose sum is σ = 108898548. Its totient is φ = 47278080.

The previous prime is 71907991. The next prime is 71908013. The reversal of 71907993 is 39970917.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 43520409 = 5328^2 + 6597^2 .

It is not a de Polignac number, because 71907993 - 2¹ = 71907991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71907991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168 + ... + 11993.

Almost surely, 2^71907993 is an apocalyptic number.

71907993 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

71907993 is a deficient number, since it is larger than the sum of its proper divisors (36990555).

71907993 is a wasteful number, since it uses less digits than its factorization.

71907993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12246 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 45.

The square root of 71907993 is about 8479.8580766426. The cubic root of 71907993 is about 415.8394832668.

It can be divided in two parts, 71907 and 993, that added together give a square (72900 = 270²).

The spelling of 71907993 in words is "seventy-one million, nine hundred seven thousand, nine hundred ninety-three".