72104381 has 2 divisors, whose sum is σ = 72104382. Its totient is φ = 72104380.

The previous prime is 72104369. The next prime is 72104393. The reversal of 72104381 is 18340127.

It is a balanced prime because it is at equal distance from previous prime (72104369) and next prime (72104393).

It can be written as a sum of positive squares in only one way, i.e., 67798756 + 4305625 = 8234^2 + 2075^2 .

It is a cyclic number.

It is not a de Polignac number, because 72104381 - 2⁶ = 72104317 is a prime.

It is a super-2 number, since 2×72104381² = 10398083518786322, which contains 22 as substring.

It is a Chen prime.

It is equal to p_4234481 and since 72104381 and 4234481 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72104381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72104311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36052190 + 36052191.

It is an arithmetic number, because the mean of its divisors is an integer number (36052191).

Almost surely, 2^72104381 is an apocalyptic number.

It is an amenable number.

72104381 is a deficient number, since it is larger than the sum of its proper divisors (1).

72104381 is an equidigital number, since it uses as much as digits as its factorization.

72104381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 72104381 is about 8491.4298560372. The cubic root of 72104381 is about 416.2177057133.

The spelling of 72104381 in words is "seventy-two million, one hundred four thousand, three hundred eighty-one".