72427311 has 16 divisors (see below), whose sum is σ = 117054720. Its totient is φ = 43895160.

The previous prime is 72427291. The next prime is 72427357. The reversal of 72427311 is 11372427.

It is a happy number.

It is not a de Polignac number, because 72427311 - 2¹⁷ = 72296239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72407311) 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 15 ways as a sum of consecutive naturals, for example, 121635 + ... + 122228.

It is an arithmetic number, because the mean of its divisors is an integer number (7315920).

Almost surely, 2^72427311 is an apocalyptic number.

72427311 is a deficient number, since it is larger than the sum of its proper divisors (44627409).

72427311 is a wasteful number, since it uses less digits than its factorization.

72427311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243883 (or 243877 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72427311 is about 8510.4236674798. The cubic root of 72427311 is about 416.8381443171.

Adding to 72427311 its reverse (11372427), we get a palindrome (83799738).

The spelling of 72427311 in words is "seventy-two million, four hundred twenty-seven thousand, three hundred eleven".