73257114 has 128 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 18441216.

The previous prime is 73257113. The next prime is 73257127. The reversal of 73257114 is 41175237.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73257113) 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 in 63 ways as a sum of consecutive naturals, for example, 1241617 + ... + 1241675.

It is an arithmetic number, because the mean of its divisors is an integer number (1477440).

Almost surely, 2^73257114 is an apocalyptic number.

73257114 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73257114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94556160).

73257114 is an abundant number, since it is smaller than the sum of its proper divisors (115855206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73257114 is a wasteful number, since it uses less digits than its factorization.

73257114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its digits is 5880, while the sum is 30.

The square root of 73257114 is about 8559.0369785391. The cubic root of 73257114 is about 418.4240143872.

The spelling of 73257114 in words is "seventy-three million, two hundred fifty-seven thousand, one hundred fourteen".