72443616 has 96 divisors (see below), whose sum is σ = 220711680. Its totient is φ = 20376576.

The previous prime is 72443611. The next prime is 72443639. The reversal of 72443616 is 61634427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72443611) 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, 44220 + ... + 45828.

It is an arithmetic number, because the mean of its divisors is an integer number (2299080).

Almost surely, 2^72443616 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 72443616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110355840).

72443616 is an abundant number, since it is smaller than the sum of its proper divisors (148268064).

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

72443616 is a wasteful number, since it uses less digits than its factorization.

72443616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1688 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 72443616 is about 8511.3815564807. The cubic root of 72443616 is about 416.8694218186.

The spelling of 72443616 in words is "seventy-two million, four hundred forty-three thousand, six hundred sixteen".