8072937 has 12 divisors (see below), whose sum is σ = 11714820. Its totient is φ = 5357088.

The previous prime is 8072921. The next prime is 8072957. The reversal of 8072937 is 7392708.

It can be written as a sum of positive squares in 2 ways, for example, as 7080921 + 992016 = 2661^2 + 996^2 .

It is not a de Polignac number, because 8072937 - 2⁴ = 8072921 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

8072937 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8072957) 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, 103 + ... + 4019.

It is an arithmetic number, because the mean of its divisors is an integer number (976235).

Almost surely, 2^8072937 is an apocalyptic number.

It is an amenable number.

8072937 is a deficient number, since it is larger than the sum of its proper divisors (3641883).

8072937 is a wasteful number, since it uses less digits than its factorization.

8072937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8072937 is about 2841.2914317261. The cubic root of 8072937 is about 200.6059704780.

It can be divided in two parts, 8072 and 937, that added together give a palindrome (9009).

The spelling of 8072937 in words is "eight million, seventy-two thousand, nine hundred thirty-seven".