73434960 has 120 divisors (see below), whose sum is σ = 255195720. Its totient is φ = 18902016.

The previous prime is 73434941. The next prime is 73434967. The reversal of 73434960 is 6943437.

It can be written as a sum of positive squares in 4 ways, for example, as 25160256 + 48274704 = 5016^2 + 6948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73434967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19122 + ... + 22638.

It is an arithmetic number, because the mean of its divisors is an integer number (2126631).

Almost surely, 2^73434960 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 73434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127597860).

73434960 is an abundant number, since it is smaller than the sum of its proper divisors (181760760).

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

73434960 is a wasteful number, since it uses less digits than its factorization.

73434960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 73434960 is about 8569.4200503885. The cubic root of 73434960 is about 418.7623428455.

The spelling of 73434960 in words is "seventy-three million, four hundred thirty-four thousand, nine hundred sixty".