72235200252642 has 96 divisors (see below), whose sum is σ = 177969169372608. Its totient is φ = 19421749638144.

The previous prime is 72235200252637. The next prime is 72235200252653. The reversal of 72235200252642 is 24625200253227.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72235200252594 and 72235200252603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33217413 + ... + 35325159.

It is an arithmetic number, because the mean of its divisors is an integer number (1853845514298).

Almost surely, 2^{72235200252642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72235200252642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88984584686304).

72235200252642 is an abundant number, since it is smaller than the sum of its proper divisors (105733969119966).

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

72235200252642 is a wasteful number, since it uses less digits than its factorization.

72235200252642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114640 (or 2114633 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 72235200252642 in words is "seventy-two trillion, two hundred thirty-five billion, two hundred million, two hundred fifty-two thousand, six hundred forty-two".