3572410095072 has 288 divisors, whose sum is σ = 12578321613312. Its totient is φ = 936531182592.

The previous prime is 3572410095071. The next prime is 3572410095073. The reversal of 3572410095072 is 2705900142753.

It is a happy number.

3572410095072 is a `hidden beast` number, since 3 + 572 + 4 + 1 + 0 + 0 + 9 + 5 + 0 + 72 = 666.

3572410095072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3572410095071) and next prime (3572410095073).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3572410095072² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3572410095071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3968623 + ... + 4784849.

It is an arithmetic number, because the mean of its divisors is an integer number (43674727824).

Almost surely, 2^{3572410095072} is an apocalyptic number.

3572410095072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3572410095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289160806656).

3572410095072 is an abundant number, since it is smaller than the sum of its proper divisors (9005911518240).

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

3572410095072 is a wasteful number, since it uses less digits than its factorization.

3572410095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816430 (or 816419 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3572410095072 in words is "three trillion, five hundred seventy-two billion, four hundred ten million, ninety-five thousand, seventy-two".