72005551120 has 20 divisors (see below), whose sum is σ = 167412906540. Its totient is φ = 28802220416.

The previous prime is 72005551099. The next prime is 72005551127. The reversal of 72005551120 is 2115550027.

It can be written as a sum of positive squares in 2 ways, for example, as 24537342736 + 47468208384 = 156644^2 + 217872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (72005551127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 450034615 + ... + 450034774.

It is an arithmetic number, because the mean of its divisors is an integer number (8370645327).

Almost surely, 2^72005551120 is an apocalyptic number.

It is an amenable number.

72005551120 is an abundant number, since it is smaller than the sum of its proper divisors (95407355420).

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

72005551120 is a wasteful number, since it uses less digits than its factorization.

72005551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900069402 (or 900069396 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The spelling of 72005551120 in words is "seventy-two billion, five million, five hundred fifty-one thousand, one hundred twenty".