72123044 has 48 divisors (see below), whose sum is σ = 153562752. Its totient is φ = 28933632.

The previous prime is 72123043. The next prime is 72123047. The reversal of 72123044 is 44032127.

It is not an unprimeable number, because it can be changed into a prime (72123043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131579 + ... + 132125.

It is an arithmetic number, because the mean of its divisors is an integer number (3199224).

Almost surely, 2^72123044 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 72123044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76781376).

72123044 is an abundant number, since it is smaller than the sum of its proper divisors (81439708).

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

72123044 is a wasteful number, since it uses less digits than its factorization.

72123044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72123044 is about 8492.5287164660. The cubic root of 72123044 is about 416.2536129209.

The spelling of 72123044 in words is "seventy-two million, one hundred twenty-three thousand, forty-four".