1072357171200 has 1008 divisors, whose sum is σ = 4649110071840. Its totient is φ = 230644776960.

The previous prime is 1072357171163. The next prime is 1072357171219. The reversal of 1072357171200 is 21717532701.

It is a happy number.

1072357171200 is a `hidden beast` number, since 1 + 0 + 72 + 3 + 571 + 7 + 12 + 0 + 0 = 666.

1072357171200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1072357171200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219338356 + ... + 219343244.

Almost surely, 2^{1072357171200} is an apocalyptic number.

1072357171200 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 1072357171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324555035920).

1072357171200 is an abundant number, since it is smaller than the sum of its proper divisors (3576752900640).

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

1072357171200 is a wasteful number, since it uses less digits than its factorization.

1072357171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 1072357171200 in words is "one trillion, seventy-two billion, three hundred fifty-seven million, one hundred seventy-one thousand, two hundred".