72821683 has 16 divisors (see below), whose sum is σ = 81002880. Its totient is φ = 64915200.

The previous prime is 72821681. The next prime is 72821687. The reversal of 72821683 is 38612827.

It is a cyclic number.

It is not a de Polignac number, because 72821683 - 2¹ = 72821681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72821681) 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, 148068 + ... + 148558.

It is an arithmetic number, because the mean of its divisors is an integer number (5062680).

Almost surely, 2^72821683 is an apocalyptic number.

72821683 is a deficient number, since it is larger than the sum of its proper divisors (8181197).

72821683 is a wasteful number, since it uses less digits than its factorization.

72821683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its digits is 32256, while the sum is 37.

The square root of 72821683 is about 8533.5621518801. The cubic root of 72821683 is about 417.5933466440.

Subtracting from 72821683 its reverse (38612827), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 72821683 in words is "seventy-two million, eight hundred twenty-one thousand, six hundred eighty-three".