2072576000 has 272 divisors, whose sum is σ = 5888757888. Its totient is φ = 720896000.

The previous prime is 2072575969. The next prime is 2072576039. The reversal of 2072576000 is 6752702.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90111989 + ... + 90112011.

Almost surely, 2^2072576000 is an apocalyptic number.

2072576000 is a gapful number since it is divisible by the number (20) 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 2072576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944378944).

2072576000 is an abundant number, since it is smaller than the sum of its proper divisors (3816181888).

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

2072576000 is an frugal number, since it uses more digits than its factorization.

2072576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 2072576000 is about 45525.5532640736. The cubic root of 2072576000 is about 1274.9803405914.

The spelling of 2072576000 in words is "two billion, seventy-two million, five hundred seventy-six thousand".