73114000 has 80 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 28924800.

The previous prime is 73113973. The next prime is 73114003. The reversal of 73114000 is 41137.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (73114003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277869 + ... + 278131.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^73114000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

73114000 is an abundant number, since it is smaller than the sum of its proper divisors (105624560).

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

73114000 is a wasteful number, since it uses less digits than its factorization.

73114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 73114000 is about 8550.6724881731. The cubic root of 73114000 is about 418.1513611317.

Adding to 73114000 its reverse (41137), we get a palindrome (73155137).

It can be divided in two parts, 7311 and 4000, that added together give a palindrome (11311).

The spelling of 73114000 in words is "seventy-three million, one hundred fourteen thousand".