72072034560 has 216 divisors, whose sum is σ = 260204503104. Its totient is φ = 18383523840.

The previous prime is 72072034553. The next prime is 72072034579. The reversal of 72072034560 is 6543027027.

It is a happy number.

72072034560 is a `hidden beast` number, since 7 + 20 + 72 + 0 + 3 + 4 + 560 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128955 + ... + 400965.

Almost surely, 2^72072034560 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 72072034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130102251552).

72072034560 is an abundant number, since it is smaller than the sum of its proper divisors (188132468544).

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

72072034560 is a wasteful number, since it uses less digits than its factorization.

72072034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272061 (or 272044 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 72072034560 in words is "seventy-two billion, seventy-two million, thirty-four thousand, five hundred sixty".