72879833 has 8 divisors (see below), whose sum is σ = 83103048. Its totient is φ = 63316224.

The previous prime is 72879827. The next prime is 72879841. The reversal of 72879833 is 33897827.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28217344 + 44662489 = 5312^2 + 6683^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72879833 - 2⁴ = 72879817 is a prime.

It is a super-2 number, since 2×72879833² = 10622940116215778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72879133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164666 + ... + 165107.

It is an arithmetic number, because the mean of its divisors is an integer number (10387881).

Almost surely, 2^72879833 is an apocalyptic number.

It is an amenable number.

72879833 is a deficient number, since it is larger than the sum of its proper divisors (10223215).

72879833 is a wasteful number, since it uses less digits than its factorization.

72879833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329803.

The product of its digits is 508032, while the sum is 47.

The square root of 72879833 is about 8536.9686071814. The cubic root of 72879833 is about 417.7044701053.

The spelling of 72879833 in words is "seventy-two million, eight hundred seventy-nine thousand, eight hundred thirty-three".