72800831 has 8 divisors (see below), whose sum is σ = 73347120. Its totient is φ = 72257152.

The previous prime is 72800801. The next prime is 72800839. The reversal of 72800831 is 13800827.

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 72800831 - 2¹⁴ = 72784447 is a prime.

It is a super-2 number, since 2×72800831² = 10599921988581122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72800794 and 72800803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72800839) 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, 122471 + ... + 123063.

It is an arithmetic number, because the mean of its divisors is an integer number (9168390).

Almost surely, 2^72800831 is an apocalyptic number.

72800831 is a deficient number, since it is larger than the sum of its proper divisors (546289).

72800831 is a wasteful number, since it uses less digits than its factorization.

72800831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 72800831 is about 8532.3403002928. The cubic root of 72800831 is about 417.5534844887.

The spelling of 72800831 in words is "seventy-two million, eight hundred thousand, eight hundred thirty-one".