72773272 has 48 divisors (see below), whose sum is σ = 161547120. Its totient is φ = 30528960.

The previous prime is 72773263. The next prime is 72773279. The reversal of 72773272 is 27237727.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72773279) 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 11 ways as a sum of consecutive naturals, for example, 9693 + ... + 15475.

It is an arithmetic number, because the mean of its divisors is an integer number (3365565).

Almost surely, 2^72773272 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 72773272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80773560).

72773272 is an abundant number, since it is smaller than the sum of its proper divisors (88773848).

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

72773272 is a wasteful number, since it uses less digits than its factorization.

72773272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5809 counting only the distinct ones).

The product of its digits is 57624, while the sum is 37.

The square root of 72773272 is about 8530.7251743331. The cubic root of 72773272 is about 417.5007890790.

The spelling of 72773272 in words is "seventy-two million, seven hundred seventy-three thousand, two hundred seventy-two".