72041554080 has 144 divisors (see below), whose sum is σ = 254319254280. Its totient is φ = 18548619264.

The previous prime is 72041554061. The next prime is 72041554111. The reversal of 72041554080 is 8045514027.

72041554080 is a `hidden beast` number, since 7 + 20 + 4 + 1 + 554 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69449115024 + 2592439056 = 263532^2 + 50916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820807 + ... + 904326.

Almost surely, 2^72041554080 is an apocalyptic number.

It is an amenable number.

72041554080 is an abundant number, since it is smaller than the sum of its proper divisors (182277700200).

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

72041554080 is a wasteful number, since it uses less digits than its factorization.

72041554080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725183 (or 1725172 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 72041554080 in words is "seventy-two billion, forty-one million, five hundred fifty-four thousand, eighty".