72967833 has 12 divisors (see below), whose sum is σ = 106107300. Its totient is φ = 48317856.

The previous prime is 72967813. The next prime is 72967877. The reversal of 72967833 is 33876927.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23011209 + 49956624 = 4797^2 + 7068^2 .

It is not a de Polignac number, because 72967833 - 2¹⁴ = 72951449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72967813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25866 + ... + 28547.

It is an arithmetic number, because the mean of its divisors is an integer number (8842275).

Almost surely, 2^72967833 is an apocalyptic number.

It is an amenable number.

72967833 is a deficient number, since it is larger than the sum of its proper divisors (33139467).

72967833 is a wasteful number, since it uses less digits than its factorization.

72967833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54568 (or 54565 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 72967833 is about 8542.1211066105. The cubic root of 72967833 is about 417.8725239509.

It can be divided in two parts, 7296 and 7833, that added together give a square (15129 = 123²).

The spelling of 72967833 in words is "seventy-two million, nine hundred sixty-seven thousand, eight hundred thirty-three".