72396544 has 72 divisors (see below), whose sum is σ = 161296128. Its totient is φ = 32148480.

The previous prime is 72396503. The next prime is 72396547. The reversal of 72396544 is 44569327.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72396497 and 72396506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72396547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132079 + ... + 132625.

It is an arithmetic number, because the mean of its divisors is an integer number (2240224).

Almost surely, 2^72396544 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 72396544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80648064).

72396544 is an abundant number, since it is smaller than the sum of its proper divisors (88899584).

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

72396544 is a wasteful number, since it uses less digits than its factorization.

72396544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its digits is 181440, while the sum is 40.

The square root of 72396544 is about 8508.6158686357. The cubic root of 72396544 is about 416.7791119096.

The spelling of 72396544 in words is "seventy-two million, three hundred ninety-six thousand, five hundred forty-four".