72204831 has 32 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 44327808.

The previous prime is 72204829. The next prime is 72204851. The reversal of 72204831 is 13840227.

It is not a de Polignac number, because 72204831 - 2¹ = 72204829 is a prime.

It is a super-2 number, since 2×72204831² = 10427075239477122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72204795 and 72204804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72204851) 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 31 ways as a sum of consecutive naturals, for example, 19900 + ... + 23246.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^72204831 is an apocalyptic number.

72204831 is a deficient number, since it is larger than the sum of its proper divisors (43502049).

72204831 is a wasteful number, since it uses less digits than its factorization.

72204831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72204831 is about 8497.3425845967. The cubic root of 72204831 is about 416.4108963256.

The spelling of 72204831 in words is "seventy-two million, two hundred four thousand, eight hundred thirty-one".