272090738010 has 512 divisors, whose sum is σ = 879589767168. Its totient is φ = 52234813440.

The previous prime is 272090737987. The next prime is 272090738039. The reversal of 272090738010 is 10837090272.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 272090738010.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 331413400 + ... + 331414220.

It is an arithmetic number, because the mean of its divisors is an integer number (1717948764).

Almost surely, 2^272090738010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272090738010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439794883584).

272090738010 is an abundant number, since it is smaller than the sum of its proper divisors (607499029158).

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

272090738010 is a wasteful number, since it uses less digits than its factorization.

272090738010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 272090738010 in words is "two hundred seventy-two billion, ninety million, seven hundred thirty-eight thousand, ten".