72023072 has 96 divisors (see below), whose sum is σ = 166017600. Its totient is φ = 30666240.

The previous prime is 72023071. The next prime is 72023093. The reversal of 72023072 is 27032027.

It is not an unprimeable number, because it can be changed into a prime (72023071) 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, 809204 + ... + 809292.

It is an arithmetic number, because the mean of its divisors is an integer number (1729350).

Almost surely, 2^72023072 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 72023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83008800).

72023072 is an abundant number, since it is smaller than the sum of its proper divisors (93994528).

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

72023072 is a wasteful number, since it uses less digits than its factorization.

72023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 72023072 is about 8486.6407959805. The cubic root of 72023072 is about 416.0611966184.

Adding to 72023072 its reverse (27032027), we get a palindrome (99055099).

The spelling of 72023072 in words is "seventy-two million, twenty-three thousand, seventy-two".