9072020400 has 120 divisors (see below), whose sum is σ = 29131677120. Its totient is φ = 2413297920.

The previous prime is 9072020393. The next prime is 9072020401. The reversal of 9072020400 is 40202709.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (9072020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493779 + ... + 511821.

It is an arithmetic number, because the mean of its divisors is an integer number (242763976).

Almost surely, 2^9072020400 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 9072020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565838560).

9072020400 is an abundant number, since it is smaller than the sum of its proper divisors (20059656720).

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

9072020400 is a wasteful number, since it uses less digits than its factorization.

9072020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18483 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 9072020400 is about 95247.1542881991. The cubic root of 9072020400 is about 2085.6175502231.

The spelling of 9072020400 in words is "nine billion, seventy-two million, twenty thousand, four hundred".