72983649 has 32 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 45731840.

The previous prime is 72983639. The next prime is 72983657. The reversal of 72983649 is 94638927.

72983649 = 747² + 748² + ... + 859².

It is a cyclic number.

It is not a de Polignac number, because 72983649 - 2¹⁵ = 72950881 is a prime.

It is a super-2 number, since 2×72983649² = 10653226042710402, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72983598 and 72983607.

It is not an unprimeable number, because it can be changed into a prime (72983639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645817 + ... + 645929.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^72983649 is an apocalyptic number.

It is an amenable number.

72983649 is a deficient number, since it is larger than the sum of its proper divisors (30437151).

72983649 is a wasteful number, since it uses less digits than its factorization.

72983649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305.

The product of its digits is 653184, while the sum is 48.

The square root of 72983649 is about 8543.0468218312. The cubic root of 72983649 is about 417.9027134838.

The spelling of 72983649 in words is "seventy-two million, nine hundred eighty-three thousand, six hundred forty-nine".