72290414427 has 32 divisors (see below), whose sum is σ = 120188705280. Its totient is φ = 37547953920.

The previous prime is 72290414401. The next prime is 72290414461. The reversal of 72290414427 is 72441409227.

It is not a de Polignac number, because 72290414427 - 2¹² = 72290410331 is a prime.

It is a super-3 number, since 3×72290414427³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72290414927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905213 + ... + 1942785.

It is an arithmetic number, because the mean of its divisors is an integer number (3755897040).

Almost surely, 2^72290414427 is an apocalyptic number.

72290414427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72290414427 is a deficient number, since it is larger than the sum of its proper divisors (47898290853).

72290414427 is a wasteful number, since it uses less digits than its factorization.

72290414427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45923.

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 72290414427 in words is "seventy-two billion, two hundred ninety million, four hundred fourteen thousand, four hundred twenty-seven".