72065302427910 has 512 divisors, whose sum is σ = 199558884556800. Its totient is φ = 16500428144640.

The previous prime is 72065302427891. The next prime is 72065302427959. The reversal of 72065302427910 is 1972420356027.

It is a super-2 number, since 2×72065302427910² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72065302427910.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18166194747 + ... + 18166198713.

It is an arithmetic number, because the mean of its divisors is an integer number (389763446400).

Almost surely, 2^{72065302427910} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72065302427910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779442278400).

72065302427910 is an abundant number, since it is smaller than the sum of its proper divisors (127493582128890).

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

72065302427910 is a wasteful number, since it uses less digits than its factorization.

72065302427910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416.

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 72065302427910 in words is "seventy-two trillion, sixty-five billion, three hundred two million, four hundred twenty-seven thousand, nine hundred ten".