8772192000 has 1152 divisors, whose sum is σ = 38569789440. Its totient is φ = 1935360000.

The previous prime is 8772191963. The next prime is 8772192007. The reversal of 8772192000 is 2912778.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8772192007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123551965 + ... + 123552035.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^8772192000 is an apocalyptic number.

8772192000 is a gapful number since it is divisible by the number (80) 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 8772192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

8772192000 is an abundant number, since it is smaller than the sum of its proper divisors (29797597440).

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

8772192000 is a wasteful number, since it uses less digits than its factorization.

8772192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 8772192000 is about 93659.9807815483. The cubic root of 8772192000 is about 2062.3832661205.

The spelling of 8772192000 in words is "eight billion, seven hundred seventy-two million, one hundred ninety-two thousand".