73730272 has 96 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 27456000.

The previous prime is 73730269. The next prime is 73730291. The reversal of 73730272 is 27203737.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56022 + ... + 57322.

It is an arithmetic number, because the mean of its divisors is an integer number (1968624).

Almost surely, 2^73730272 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 73730272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

73730272 is an abundant number, since it is smaller than the sum of its proper divisors (115257632).

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

73730272 is a wasteful number, since it uses less digits than its factorization.

73730272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 73730272 is about 8586.6333332686. The cubic root of 73730272 is about 419.3229302662.

The spelling of 73730272 in words is "seventy-three million, seven hundred thirty thousand, two hundred seventy-two".