72005056945920 has 2160 divisors, whose sum is σ = 315353817934848. Its totient is φ = 15621235015680.

The previous prime is 72005056945781. The next prime is 72005056945933. The reversal of 72005056945920 is 2954965050027.

72005056945920 is a `hidden beast` number, since 7 + 2 + 0 + 0 + 5 + 0 + 569 + 4 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7706840769 + ... + 7706850111.

Almost surely, 2^{72005056945920} is an apocalyptic number.

72005056945920 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 72005056945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157676908967424).

72005056945920 is an abundant number, since it is smaller than the sum of its proper divisors (243348760988928).

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

72005056945920 is a wasteful number, since it uses less digits than its factorization.

72005056945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9468 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 72005056945920 in words is "seventy-two trillion, five billion, fifty-six million, nine hundred forty-five thousand, nine hundred twenty".