1072671107820 has 192 divisors, whose sum is σ = 3440148848640. Its totient is φ = 247395151872.

The previous prime is 1072671107779. The next prime is 1072671107861. The reversal of 1072671107820 is 287011762701.

1072671107820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1072671107779) and next prime (1072671107861).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775601 + ... + 3138359.

It is an arithmetic number, because the mean of its divisors is an integer number (17917441920).

Almost surely, 2^{1072671107820} is an apocalyptic number.

1072671107820 is a gapful number since it is divisible by the number (10) 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 1072671107820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720074424320).

1072671107820 is an abundant number, since it is smaller than the sum of its proper divisors (2367477740820).

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

1072671107820 is a wasteful number, since it uses less digits than its factorization.

1072671107820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363024 (or 363022 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 42.

The spelling of 1072671107820 in words is "one trillion, seventy-two billion, six hundred seventy-one million, one hundred seven thousand, eight hundred twenty".