72276993 has 6 divisors (see below), whose sum is σ = 104400114. Its totient is φ = 48184656.

The previous prime is 72276983. The next prime is 72277067. The reversal of 72276993 is 39967227.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44997264 + 27279729 = 6708^2 + 5223^2 .

It is not a de Polignac number, because 72276993 - 2¹⁴ = 72260609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72276943) 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 5 ways as a sum of consecutive naturals, for example, 4015380 + ... + 4015397.

It is an arithmetic number, because the mean of its divisors is an integer number (17400019).

Almost surely, 2^72276993 is an apocalyptic number.

It is an amenable number.

72276993 is a deficient number, since it is larger than the sum of its proper divisors (32123121).

72276993 is a wasteful number, since it uses less digits than its factorization.

72276993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030783 (or 8030780 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 72276993 is about 8501.5876752522. The cubic root of 72276993 is about 416.5495714338.

The spelling of 72276993 in words is "seventy-two million, two hundred seventy-six thousand, nine hundred ninety-three".