8072637 has 12 divisors (see below), whose sum is σ = 11435136. Its totient is φ = 5064640.

The previous prime is 8072633. The next prime is 8072639. The reversal of 8072637 is 7362708.

It is not a de Polignac number, because 8072637 - 2² = 8072633 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

8072637 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8072598 and 8072607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3789 + ... + 5522.

It is an arithmetic number, because the mean of its divisors is an integer number (952928).

Almost surely, 2^8072637 is an apocalyptic number.

It is an amenable number.

8072637 is a deficient number, since it is larger than the sum of its proper divisors (3362499).

8072637 is a wasteful number, since it uses less digits than its factorization.

8072637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 8072637 is about 2841.2386383407. The cubic root of 8072637 is about 200.6034855279.

The spelling of 8072637 in words is "eight million, seventy-two thousand, six hundred thirty-seven".