72210261460 has 48 divisors (see below), whose sum is σ = 152333571600. Its totient is φ = 28752445440.

The previous prime is 72210261451. The next prime is 72210261479. The reversal of 72210261460 is 6416201227.

It can be written as a sum of positive squares in 8 ways, for example, as 324072004 + 71886189456 = 18002^2 + 268116^2 .

It is a super-2 number, since 2×72210261460² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 9561766 + ... + 9569314.

It is an arithmetic number, because the mean of its divisors is an integer number (3173616075).

Almost surely, 2^72210261460 is an apocalyptic number.

It is an amenable number.

72210261460 is an abundant number, since it is smaller than the sum of its proper divisors (80123310140).

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

72210261460 is a wasteful number, since it uses less digits than its factorization.

72210261460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9674 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 72210261460 its reverse (6416201227), we get a palindrome (78626462687).

The spelling of 72210261460 in words is "seventy-two billion, two hundred ten million, two hundred sixty-one thousand, four hundred sixty".