1072016175270 has 64 divisors (see below), whose sum is σ = 2609841461760. Its totient is φ = 281761939200.

The previous prime is 1072016175257. The next prime is 1072016175277. The reversal of 1072016175270 is 725716102701.

It is a happy number.

It is a super-2 number, since 2×1072016175270² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072016175277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7363746 + ... + 7507914.

It is an arithmetic number, because the mean of its divisors is an integer number (40778772840).

Almost surely, 2^{1072016175270} is an apocalyptic number.

1072016175270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072016175270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304920730880).

1072016175270 is an abundant number, since it is smaller than the sum of its proper divisors (1537825286490).

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

1072016175270 is a wasteful number, since it uses less digits than its factorization.

1072016175270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147741.

The product of its (nonzero) digits is 41160, while the sum is 39.

The spelling of 1072016175270 in words is "one trillion, seventy-two billion, sixteen million, one hundred seventy-five thousand, two hundred seventy".