73827712 has 96 divisors (see below), whose sum is σ = 174420000. Its totient is φ = 31030272.

The previous prime is 73827701. The next prime is 73827773. The reversal of 73827712 is 21772837.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495414 + ... + 495562.

It is an arithmetic number, because the mean of its divisors is an integer number (1816875).

Almost surely, 2^73827712 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 73827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87210000).

73827712 is an abundant number, since it is smaller than the sum of its proper divisors (100592288).

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

73827712 is a wasteful number, since it uses less digits than its factorization.

73827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its digits is 32928, while the sum is 37.

The square root of 73827712 is about 8592.3053949449. The cubic root of 73827712 is about 419.5075710255.

The spelling of 73827712 in words is "seventy-three million, eight hundred twenty-seven thousand, seven hundred twelve".