72150454080 has 448 divisors, whose sum is σ = 269326156800. Its totient is φ = 18132387840.

The previous prime is 72150453983. The next prime is 72150454087. The reversal of 72150454080 is 8045405127.

72150454080 is a `hidden beast` number, since 7 + 21 + 504 + 54 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72150454087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34636719 + ... + 34638801.

Almost surely, 2^72150454080 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 72150454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134663078400).

72150454080 is an abundant number, since it is smaller than the sum of its proper divisors (197175702720).

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

72150454080 is a wasteful number, since it uses less digits than its factorization.

72150454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2323 counting only the distinct ones).

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

The spelling of 72150454080 in words is "seventy-two billion, one hundred fifty million, four hundred fifty-four thousand, eighty".