72850095360 has 432 divisors, whose sum is σ = 300730449600. Its totient is φ = 16651063296.

The previous prime is 72850095349. The next prime is 72850095379. The reversal of 72850095360 is 6359005827.

It is a happy number.

72850095360 is a `hidden beast` number, since 7 + 28 + 500 + 95 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×72850095360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1671931 + ... + 1714949.

It is an arithmetic number, because the mean of its divisors is an integer number (696135300).

Almost surely, 2^72850095360 is an apocalyptic number.

72850095360 is a gapful number since it is divisible by the number (70) 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 72850095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150365224800).

72850095360 is an abundant number, since it is smaller than the sum of its proper divisors (227880354240).

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

72850095360 is a wasteful number, since it uses less digits than its factorization.

72850095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43063 (or 43036 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 72850095360 in words is "seventy-two billion, eight hundred fifty million, ninety-five thousand, three hundred sixty".