72727201 has 4 divisors (see below), whose sum is σ = 72784404. Its totient is φ = 72670000.

The previous prime is 72727159. The next prime is 72727223. The reversal of 72727201 is 10272727.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10272727 = 443 ⋅23189.

It can be written as a sum of positive squares in 2 ways, for example, as 29811600 + 42915601 = 5460^2 + 6551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72727201 - 2⁷ = 72727073 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 72727201.

It is not an unprimeable number, because it can be changed into a prime (72727301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26650 + ... + 29251.

It is an arithmetic number, because the mean of its divisors is an integer number (18196101).

Almost surely, 2^72727201 is an apocalyptic number.

It is an amenable number.

72727201 is a deficient number, since it is larger than the sum of its proper divisors (57203).

72727201 is a wasteful number, since it uses less digits than its factorization.

72727201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57202.

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 72727201 is about 8528.0244488393. The cubic root of 72727201 is about 417.4126672601.

Adding to 72727201 its reverse (10272727), we get a palindrome (82999928).

The spelling of 72727201 in words is "seventy-two million, seven hundred twenty-seven thousand, two hundred one".