73126272 has 64 divisors (see below), whose sum is σ = 200540160. Its totient is φ = 23585280.

The previous prime is 73126243. The next prime is 73126283. The reversal of 73126272 is 27262137.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 8833 + ... + 14975.

It is an arithmetic number, because the mean of its divisors is an integer number (3133440).

Almost surely, 2^73126272 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 73126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100270080).

73126272 is an abundant number, since it is smaller than the sum of its proper divisors (127413888).

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

73126272 is a wasteful number, since it uses less digits than its factorization.

73126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6179 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 73126272 is about 8551.3900624401. The cubic root of 73126272 is about 418.1747550391.

The spelling of 73126272 in words is "seventy-three million, one hundred twenty-six thousand, two hundred seventy-two".