72671831 has 2 divisors, whose sum is σ = 72671832. Its totient is φ = 72671830.

The previous prime is 72671777. The next prime is 72671839. The reversal of 72671831 is 13817627.

It is a strong prime.

It is an emirp because it is prime and its reverse (13817627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72671831 - 2¹⁴ = 72655447 is a prime.

It is a super-2 number, since 2×72671831² = 10562390041785122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72671791 and 72671800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671839) 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 as a sum of consecutive naturals, namely, 36335915 + 36335916.

It is an arithmetic number, because the mean of its divisors is an integer number (36335916).

Almost surely, 2^72671831 is an apocalyptic number.

72671831 is a deficient number, since it is larger than the sum of its proper divisors (1).

72671831 is an equidigital number, since it uses as much as digits as its factorization.

72671831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 35.

The square root of 72671831 is about 8524.7774751016. Note that the first 3 decimals coincide. The cubic root of 72671831 is about 417.3067096224.

The spelling of 72671831 in words is "seventy-two million, six hundred seventy-one thousand, eight hundred thirty-one".