73705760 has 48 divisors (see below), whose sum is σ = 175892472. Its totient is φ = 29184000.

The previous prime is 73705759. The next prime is 73705781. The reversal of 73705760 is 6750737.

It can be written as a sum of positive squares in 4 ways, for example, as 69022864 + 4682896 = 8308^2 + 2164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 73705760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13880 + ... + 18440.

Almost surely, 2^73705760 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 73705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87946236).

73705760 is an abundant number, since it is smaller than the sum of its proper divisors (102186712).

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

73705760 is a wasteful number, since it uses less digits than its factorization.

73705760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

The square root of 73705760 is about 8585.2058798843. The cubic root of 73705760 is about 419.2764564428.

The spelling of 73705760 in words is "seventy-three million, seven hundred five thousand, seven hundred sixty".