73111257 has 6 divisors (see below), whose sum is σ = 105605162. Its totient is φ = 48740832.

The previous prime is 73111243. The next prime is 73111267. The reversal of 73111257 is 75211137.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 70207641 + 2903616 = 8379^2 + 1704^2 .

It is not a de Polignac number, because 73111257 - 2²³ = 64722649 is a prime.

It is a super-3 number, since 3×73111257³ (a number of 25 digits) contains 333 as substring.

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 73111257.

It is not an unprimeable number, because it can be changed into a prime (73111267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4061728 + ... + 4061745.

Almost surely, 2^73111257 is an apocalyptic number.

It is an amenable number.

73111257 is a deficient number, since it is larger than the sum of its proper divisors (32493905).

73111257 is a wasteful number, since it uses less digits than its factorization.

73111257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123479 (or 8123476 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 73111257 is about 8550.5120899277. The cubic root of 73111257 is about 418.1461318390.

The spelling of 73111257 in words is "seventy-three million, one hundred eleven thousand, two hundred fifty-seven".