73691600 has 60 divisors (see below), whose sum is σ = 187475724. Its totient is φ = 27740160.

The previous prime is 73691591. The next prime is 73691627. The reversal of 73691600 is 619637.

It can be written as a sum of positive squares in 6 ways, for example, as 1577536 + 72114064 = 1256^2 + 8492^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1382 + ... + 12218.

Almost surely, 2^73691600 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 73691600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93737862).

73691600 is an abundant number, since it is smaller than the sum of its proper divisors (113784124).

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

73691600 is a wasteful number, since it uses less digits than its factorization.

73691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10872 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 73691600 is about 8584.3811658150. The cubic root of 73691600 is about 419.2496049238.

The spelling of 73691600 in words is "seventy-three million, six hundred ninety-one thousand, six hundred".