272780101 has 12 divisors (see below), whose sum is σ = 300549676. Its totient is φ = 247389120.

The previous prime is 272780071. The next prime is 272780107. The reversal of 272780101 is 101087272.

It can be written as a sum of positive squares in 2 ways, for example, as 165636900 + 107143201 = 12870^2 + 10351^2 .

It is not a de Polignac number, because 272780101 - 2⁷ = 272779973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 272780101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272780107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52831 + ... + 57763.

Almost surely, 2^272780101 is an apocalyptic number.

It is an amenable number.

272780101 is a deficient number, since it is larger than the sum of its proper divisors (27769575).

272780101 is a wasteful number, since it uses less digits than its factorization.

272780101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 5401 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 272780101 is about 16516.0558548341. The cubic root of 272780101 is about 648.5411867766.

It can be divided in two parts, 2727 and 80101, that added together give a palindrome (82828).

The spelling of 272780101 in words is "two hundred seventy-two million, seven hundred eighty thousand, one hundred one".