73889257 has 8 divisors (see below), whose sum is σ = 81514440. Its totient is φ = 66541440.

The previous prime is 73889251. The next prime is 73889267. The reversal of 73889257 is 75298837.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 73770921 = 344^2 + 8589^2 .

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 73889257 - 2²³ = 65500649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73889257.

It is not an unprimeable number, because it can be changed into a prime (73889251) 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, 68782 + ... + 69847.

It is an arithmetic number, because the mean of its divisors is an integer number (10189305).

Almost surely, 2^73889257 is an apocalyptic number.

It is an amenable number.

73889257 is a deficient number, since it is larger than the sum of its proper divisors (7625183).

73889257 is a wasteful number, since it uses less digits than its factorization.

73889257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138683.

The product of its digits is 846720, while the sum is 49.

The square root of 73889257 is about 8595.8860508967. The cubic root of 73889257 is about 419.6241100219.

The spelling of 73889257 in words is "seventy-three million, eight hundred eighty-nine thousand, two hundred fifty-seven".