2072765700 has 126 divisors (see below), whose sum is σ = 6744004554. Its totient is φ = 552718080.

The previous prime is 2072765699. The next prime is 2072765713. The reversal of 2072765700 is 75672702.

2072765700 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 78428736 + 1994336964 = 8856^2 + 44658^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 58684 + ... + 87116.

Almost surely, 2^2072765700 is an apocalyptic number.

2072765700 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 2072765700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372002277).

2072765700 is an abundant number, since it is smaller than the sum of its proper divisors (4671238854).

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

2072765700 is a wasteful number, since it uses less digits than its factorization.

2072765700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28465 (or 28443 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2072765700 is about 45527.6366617025. The cubic root of 2072765700 is about 1275.0192384640.

The spelling of 2072765700 in words is "two billion, seventy-two million, seven hundred sixty-five thousand, seven hundred".