71966037 has 32 divisors (see below), whose sum is σ = 113379840. Its totient is φ = 40029120.

The previous prime is 71966009. The next prime is 71966039. The reversal of 71966037 is 73066917.

It is not a de Polignac number, because 71966037 - 2¹² = 71961941 is a prime.

It is a super-2 number, since 2×71966037² = 10358220962970738, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 71965986 and 71966004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71966039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97014 + ... + 97752.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2^71966037 is an apocalyptic number.

It is an amenable number.

71966037 is a deficient number, since it is larger than the sum of its proper divisors (41413803).

71966037 is a wasteful number, since it uses less digits than its factorization.

71966037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993.

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 71966037 is about 8483.2798492093. The cubic root of 71966037 is about 415.9513414642.

The spelling of 71966037 in words is "seventy-one million, nine hundred sixty-six thousand, thirty-seven".