72062265600 has 1620 divisors, whose sum is σ = 313053073564. Its totient is φ = 16243752960.

The previous prime is 72062265593. The next prime is 72062265629. The reversal of 72062265600 is 656226027.

72062265600 is a `hidden beast` number, since 7 + 20 + 6 + 2 + 26 + 5 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 22948614144 + 49113651456 = 151488^2 + 221616^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1947628782 + ... + 1947628818.

Almost surely, 2^72062265600 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 72062265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156526536782).

72062265600 is an abundant number, since it is smaller than the sum of its proper divisors (240990807964).

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

72062265600 is a wasteful number, since it uses less digits than its factorization.

72062265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 72062265600 in words is "seventy-two billion, sixty-two million, two hundred sixty-five thousand, six hundred".