72053781120 has 384 divisors, whose sum is σ = 263748744000. Its totient is φ = 18590238720.

The previous prime is 72053781103. The next prime is 72053781161. The reversal of 72053781120 is 2118735027.

72053781120 is a `hidden beast` number, since 7 + 2 + 0 + 537 + 8 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 16603911 + ... + 16608249.

Almost surely, 2^72053781120 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 72053781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131874372000).

72053781120 is an abundant number, since it is smaller than the sum of its proper divisors (191694962880).

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

72053781120 is a wasteful number, since it uses less digits than its factorization.

72053781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 72053781120 in words is "seventy-two billion, fifty-three million, seven hundred eighty-one thousand, one hundred twenty".