72727044 has 48 divisors (see below), whose sum is σ = 184500288. Its totient is φ = 22163328.

The previous prime is 72727043. The next prime is 72727073. The reversal of 72727044 is 44072727.

It is a junction number, because it is equal to n+sod(n) for n = 72726996 and 72727014.

It is not an unprimeable number, because it can be changed into a prime (72727043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14514 + ... + 18870.

It is an arithmetic number, because the mean of its divisors is an integer number (3843756).

Almost surely, 2^72727044 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 72727044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92250144).

72727044 is an abundant number, since it is smaller than the sum of its proper divisors (111773244).

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

72727044 is a wasteful number, since it uses less digits than its factorization.

72727044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 72727044 is about 8528.0152438888. The cubic root of 72727044 is about 417.4123668964.

The spelling of 72727044 in words is "seventy-two million, seven hundred twenty-seven thousand, forty-four".