73727872 has 32 divisors (see below), whose sum is σ = 149089320. Its totient is φ = 36309504.

The previous prime is 73727839. The next prime is 73727873. The reversal of 73727872 is 27872737.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73727873) 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 3 ways as a sum of consecutive naturals, for example, 4278 + ... + 12874.

Almost surely, 2^73727872 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 73727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74544660).

73727872 is an abundant number, since it is smaller than the sum of its proper divisors (75361448).

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

73727872 is an equidigital number, since it uses as much as digits as its factorization.

73727872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8678 (or 8666 counting only the distinct ones).

The product of its digits is 230496, while the sum is 43.

The square root of 73727872 is about 8586.4935800360. The cubic root of 73727872 is about 419.3183804120.

The spelling of 73727872 in words is "seventy-three million, seven hundred twenty-seven thousand, eight hundred seventy-two".