272135525531272 has 32 divisors (see below), whose sum is σ = 551271321881280. Its totient is φ = 125197149994560.

The previous prime is 272135525531257. The next prime is 272135525531273.

272135525531272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (272135525531273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4206861138 + ... + 4206925825.

It is an arithmetic number, because the mean of its divisors is an integer number (17227228808790).

Almost surely, 2^{272135525531272} is an apocalyptic number.

It is an amenable number.

272135525531272 is an abundant number, since it is smaller than the sum of its proper divisors (279135796350008).

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

272135525531272 is a wasteful number, since it uses less digits than its factorization.

272135525531272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8413787293 (or 8413787289 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 52.

The spelling of 272135525531272 in words is "two hundred seventy-two trillion, one hundred thirty-five billion, five hundred twenty-five million, five hundred thirty-one thousand, two hundred seventy-two".