72532629733508 has 96 divisors (see below), whose sum is σ = 152422532333568. Its totient is φ = 29546161603200.

The previous prime is 72532629733457. The next prime is 72532629733517. The reversal of 72532629733508 is 80533792623527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (62).

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 31 ways as a sum of consecutive naturals, for example, 35160641 + ... + 37166327.

It is an arithmetic number, because the mean of its divisors is an integer number (1587734711808).

Almost surely, 2^{72532629733508} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72532629733508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76211266166784).

72532629733508 is an abundant number, since it is smaller than the sum of its proper divisors (79889902600060).

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

72532629733508 is a wasteful number, since it uses less digits than its factorization.

72532629733508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006473 (or 2006471 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 62.

The spelling of 72532629733508 in words is "seventy-two trillion, five hundred thirty-two billion, six hundred twenty-nine million, seven hundred thirty-three thousand, five hundred eight".