10072677271734 has 192 divisors, whose sum is σ = 27797604157440. Its totient is φ = 2560299356160.

The previous prime is 10072677271717. The next prime is 10072677271747. The reversal of 10072677271734 is 43717277627001.

10072677271734 is a `hidden beast` number, since 100 + 7 + 267 + 7 + 271 + 7 + 3 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11965774 + ... + 12779870.

It is an arithmetic number, because the mean of its divisors is an integer number (144779188320).

Almost surely, 2^{10072677271734} is an apocalyptic number.

10072677271734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072677271734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898802078720).

10072677271734 is an abundant number, since it is smaller than the sum of its proper divisors (17724926885706).

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

10072677271734 is a wasteful number, since it uses less digits than its factorization.

10072677271734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814315 (or 814312 counting only the distinct ones).

The product of its (nonzero) digits is 4840416, while the sum is 54.

The spelling of 10072677271734 in words is "ten trillion, seventy-two billion, six hundred seventy-seven million, two hundred seventy-one thousand, seven hundred thirty-four".