272725401600 has 1344 divisors, whose sum is σ = 1086929479680. Its totient is φ = 66886041600.

The previous prime is 272725401551. The next prime is 272725401607. The reversal of 272725401600 is 6104527272.

It is a happy number.

272725401600 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 2 + 5 + 40 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272725401607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6342451179 + ... + 6342451221.

Almost surely, 2^272725401600 is an apocalyptic number.

272725401600 is a gapful number since it is divisible by the number (20) 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 272725401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543464739840).

272725401600 is an abundant number, since it is smaller than the sum of its proper divisors (814204078080).

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

272725401600 is a wasteful number, since it uses less digits than its factorization.

272725401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

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

Adding to 272725401600 its reverse (6104527272), we get a palindrome (278829928872).

The spelling of 272725401600 in words is "two hundred seventy-two billion, seven hundred twenty-five million, four hundred one thousand, six hundred".