72849246624 has 288 divisors, whose sum is σ = 259055387136. Its totient is φ = 18865359360.

The previous prime is 72849246619. The next prime is 72849246643. The reversal of 72849246624 is 42664294827.

It is a happy number.

72849246624 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 9 + 2 + 4 + 6 + 624 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

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, 7690339 + ... + 7699805.

It is an arithmetic number, because the mean of its divisors is an integer number (899497872).

Almost surely, 2^72849246624 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 72849246624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527693568).

72849246624 is an abundant number, since it is smaller than the sum of its proper divisors (186206140512).

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

72849246624 is a wasteful number, since it uses less digits than its factorization.

72849246624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848 (or 9837 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 72849246624 in words is "seventy-two billion, eight hundred forty-nine million, two hundred forty-six thousand, six hundred twenty-four".