72135210532 has 48 divisors (see below), whose sum is σ = 165669396480. Its totient is φ = 26625434400.

The previous prime is 72135210517. The next prime is 72135210599. The reversal of 72135210532 is 23501253127.

It is a junction number, because it is equal to n+sod(n) for n = 72135210494 and 72135210503.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6157444 + ... + 6169147.

It is an arithmetic number, because the mean of its divisors is an integer number (3451445760).

Almost surely, 2^72135210532 is an apocalyptic number.

It is an amenable number.

72135210532 is an abundant number, since it is smaller than the sum of its proper divisors (93534185948).

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

72135210532 is a wasteful number, since it uses less digits than its factorization.

72135210532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12326632 (or 12326630 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

Adding to 72135210532 its reverse (23501253127), we get a palindrome (95636463659).

It can be divided in two parts, 721 and 35210532, that added together give a palindrome (35211253).

The spelling of 72135210532 in words is "seventy-two billion, one hundred thirty-five million, two hundred ten thousand, five hundred thirty-two".