352572272140 has 144 divisors (see below), whose sum is σ = 863800005600. Its totient is φ = 119853383680.

The previous prime is 352572272137. The next prime is 352572272147. The reversal of 352572272140 is 41272275253.

It is a happy number.

It is a super-3 number, since 3×352572272140³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352572272093 and 352572272102.

It is not an unprimeable number, because it can be changed into a prime (352572272147) 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 47 ways as a sum of consecutive naturals, for example, 9454812 + ... + 9492028.

It is an arithmetic number, because the mean of its divisors is an integer number (5998611150).

Almost surely, 2^352572272140 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 352572272140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431900002800).

352572272140 is an abundant number, since it is smaller than the sum of its proper divisors (511227733460).

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

352572272140 is a wasteful number, since it uses less digits than its factorization.

352572272140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37420 (or 37401 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The spelling of 352572272140 in words is "three hundred fifty-two billion, five hundred seventy-two million, two hundred seventy-two thousand, one hundred forty".