1072725134400 has 504 divisors, whose sum is σ = 4121896638080. Its totient is φ = 263677317120.

The previous prime is 1072725134329. The next prime is 1072725134417. The reversal of 1072725134400 is 44315272701.

1072725134400 is a `hidden beast` number, since 1 + 0 + 72 + 72 + 513 + 4 + 4 + 0 + 0 = 666.

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

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, 10070217 + ... + 10176183.

Almost surely, 2^{1072725134400} is an apocalyptic number.

1072725134400 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 1072725134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060948319040).

1072725134400 is an abundant number, since it is smaller than the sum of its proper divisors (3049171503680).

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

1072725134400 is a wasteful number, since it uses less digits than its factorization.

1072725134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106051 (or 106033 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 1072725134400 in words is "one trillion, seventy-two billion, seven hundred twenty-five million, one hundred thirty-four thousand, four hundred".