73107144 has 128 divisors (see below), whose sum is σ = 229392000. Its totient is φ = 21369600.

The previous prime is 73107131. The next prime is 73107149. The reversal of 73107144 is 44170137.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73107149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68374 + ... + 69434.

It is an arithmetic number, because the mean of its divisors is an integer number (1792125).

Almost surely, 2^73107144 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 73107144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114696000).

73107144 is an abundant number, since it is smaller than the sum of its proper divisors (156284856).

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

73107144 is a wasteful number, since it uses less digits than its factorization.

73107144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 73107144 is about 8550.2715746343. The cubic root of 73107144 is about 418.1382905144.

The spelling of 73107144 in words is "seventy-three million, one hundred seven thousand, one hundred forty-four".