72020960 has 96 divisors (see below), whose sum is σ = 187536384. Its totient is φ = 25920000.

The previous prime is 72020957. The next prime is 72020983. The reversal of 72020960 is 6902027.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265625 + ... + 265895.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2^72020960 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 72020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93768192).

72020960 is an abundant number, since it is smaller than the sum of its proper divisors (115515424).

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

72020960 is a wasteful number, since it uses less digits than its factorization.

72020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 72020960 is about 8486.5163642098. The cubic root of 72020960 is about 416.0571297279.

Adding to 72020960 its reverse (6902027), we get a palindrome (78922987).

The spelling of 72020960 in words is "seventy-two million, twenty thousand, nine hundred sixty".