1725272605440 has 216 divisors, whose sum is σ = 6030806203968. Its totient is φ = 455329382400.

The previous prime is 1725272605417. The next prime is 1725272605447. The reversal of 1725272605440 is 445062725271.

1725272605440 is a `hidden beast` number, since 1 + 7 + 25 + 27 + 2 + 60 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1725272605447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345465 + ... + 1889415.

Almost surely, 2^{1725272605440} is an apocalyptic number.

1725272605440 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 1725272605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015403101984).

1725272605440 is an abundant number, since it is smaller than the sum of its proper divisors (4305533598528).

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

1725272605440 is a wasteful number, since it uses less digits than its factorization.

1725272605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544075 (or 1544058 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1725272605440 in words is "one trillion, seven hundred twenty-five billion, two hundred seventy-two million, six hundred five thousand, four hundred forty".