673734072 has 128 divisors (see below), whose sum is σ = 2048198400. Its totient is φ = 182016000.

The previous prime is 673734071. The next prime is 673734109. The reversal of 673734072 is 270437376.

It is a self number, because there is not a number n which added to its sum of digits gives 673734072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673734071) 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 31 ways as a sum of consecutive naturals, for example, 81322 + ... + 89222.

It is an arithmetic number, because the mean of its divisors is an integer number (16001550).

Almost surely, 2^673734072 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 673734072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024099200).

673734072 is an abundant number, since it is smaller than the sum of its proper divisors (1374464328).

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

673734072 is a wasteful number, since it uses less digits than its factorization.

673734072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 39.

The square root of 673734072 is about 25956.3878842955. The cubic root of 673734072 is about 876.6565937020.

The spelling of 673734072 in words is "six hundred seventy-three million, seven hundred thirty-four thousand, seventy-two".