72055077120 has 1152 divisors, whose sum is σ = 303283814400. Its totient is φ = 16028762112.

The previous prime is 72055077113. The next prime is 72055077163. The reversal of 72055077120 is 2177055027.

72055077120 is a `hidden beast` number, since 7 + 20 + 5 + 507 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196335177 + ... + 196335543.

It is an arithmetic number, because the mean of its divisors is an integer number (263267200).

Almost surely, 2^72055077120 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 72055077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151641907200).

72055077120 is an abundant number, since it is smaller than the sum of its proper divisors (231228737280).

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

72055077120 is a wasteful number, since it uses less digits than its factorization.

72055077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The spelling of 72055077120 in words is "seventy-two billion, fifty-five million, seventy-seven thousand, one hundred twenty".