73972831 has 8 divisors (see below), whose sum is σ = 78596784. Its totient is φ = 69379200.

The previous prime is 73972819. The next prime is 73972861. The reversal of 73972831 is 13827937.

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 73972831 - 2¹⁵ = 73940063 is a prime.

It is a super-3 number, since 3×73972831³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73972861) 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, 2445 + ... + 12406.

It is an arithmetic number, because the mean of its divisors is an integer number (9824598).

Almost surely, 2^73972831 is an apocalyptic number.

73972831 is a deficient number, since it is larger than the sum of its proper divisors (4623953).

73972831 is a wasteful number, since it uses less digits than its factorization.

73972831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15161.

The product of its digits is 63504, while the sum is 40.

The square root of 73972831 is about 8600.7459560203. The cubic root of 73972831 is about 419.7822586396.

The spelling of 73972831 in words is "seventy-three million, nine hundred seventy-two thousand, eight hundred thirty-one".