4072710272000 has 88 divisors (see below), whose sum is σ = 10160521542600. Its totient is φ = 1629084057600.

The previous prime is 4072710271951. The next prime is 4072710272003. The reversal of 4072710272000 is 2720172704.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 417088638976 + 3655621633024 = 645824^2 + 1911968^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072710272003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15781025 + ... + 16037024.

It is an arithmetic number, because the mean of its divisors is an integer number (115460472075).

Almost surely, 2^{4072710272000} is an apocalyptic number.

4072710272000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4072710272000 is an abundant number, since it is smaller than the sum of its proper divisors (6087811270600).

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

4072710272000 is an equidigital number, since it uses as much as digits as its factorization.

4072710272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31818084 (or 31818056 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 32.

The spelling of 4072710272000 in words is "four trillion, seventy-two billion, seven hundred ten million, two hundred seventy-two thousand".