272742632000 has 56 divisors (see below), whose sum is σ = 675447147960. Its totient is φ = 109097049600.

The previous prime is 272742631963. The next prime is 272742632021. The reversal of 272742632000 is 236247272.

It can be written as a sum of positive squares in 4 ways, for example, as 442345024 + 272300286976 = 21032^2 + 521824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17038415 + ... + 17054414.

Almost surely, 2^272742632000 is an apocalyptic number.

272742632000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272742632000 is an abundant number, since it is smaller than the sum of its proper divisors (402704515960).

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

272742632000 is an equidigital number, since it uses as much as digits as its factorization.

272742632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34092856 (or 34092836 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

Adding to 272742632000 its reverse (236247272), we get a palindrome (272978879272).

The spelling of 272742632000 in words is "two hundred seventy-two billion, seven hundred forty-two million, six hundred thirty-two thousand".