83072763 has 16 divisors (see below), whose sum is σ = 123261600. Its totient is φ = 55296000.

The previous prime is 83072747. The next prime is 83072771. The reversal of 83072763 is 36727038.

It is not a de Polignac number, because 83072763 - 2⁴ = 83072747 is a prime.

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83072713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18763 + ... + 22763.

It is an arithmetic number, because the mean of its divisors is an integer number (7703850).

Almost surely, 2^83072763 is an apocalyptic number.

83072763 is a deficient number, since it is larger than the sum of its proper divisors (40188837).

83072763 is a wasteful number, since it uses less digits than its factorization.

83072763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 83072763 is about 9114.4260927389. The cubic root of 83072763 is about 436.3344987291.

The spelling of 83072763 in words is "eighty-three million, seventy-two thousand, seven hundred sixty-three".