9072362880 has 640 divisors, whose sum is σ = 38672916480. Its totient is φ = 1981698048.

The previous prime is 9072362833. The next prime is 9072362941. The reversal of 9072362880 is 882632709.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 8345697 + ... + 8346783.

It is an arithmetic number, because the mean of its divisors is an integer number (60426432).

Almost surely, 2^9072362880 is an apocalyptic number.

9072362880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19336458240).

9072362880 is an abundant number, since it is smaller than the sum of its proper divisors (29600553600).

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

9072362880 is a wasteful number, since it uses less digits than its factorization.

9072362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9072362880 is about 95248.9521202202. The cubic root of 9072362880 is about 2085.6437947743.

It can be divided in two parts, 907236 and 2880, that added together give a square (910116 = 954²).

The spelling of 9072362880 in words is "nine billion, seventy-two million, three hundred sixty-two thousand, eight hundred eighty".