73098144 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 20620800.

The previous prime is 73098119. The next prime is 73098161. The reversal of 73098144 is 44189037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73098099 and 73098108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203437 + ... + 203795.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^73098144 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 73098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

73098144 is an abundant number, since it is smaller than the sum of its proper divisors (167491296).

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

73098144 is a wasteful number, since it uses less digits than its factorization.

73098144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 73098144 is about 8549.7452593630. The cubic root of 73098144 is about 418.1211312290.

It can be divided in two parts, 730981 and 44, that added together give a square (731025 = 855²).

The spelling of 73098144 in words is "seventy-three million, ninety-eight thousand, one hundred forty-four".