72030187977408 has 672 divisors, whose sum is σ = 230699069939520. Its totient is φ = 22200273469440.

The previous prime is 72030187977313. The next prime is 72030187977427. The reversal of 72030187977408 is 80477978103027.

72030187977408 is a `hidden beast` number, since 7 + 203 + 0 + 18 + 7 + 9 + 7 + 7 + 408 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16337078308 + ... + 16337082716.

It is an arithmetic number, because the mean of its divisors is an integer number (343302187410).

Almost surely, 2^{72030187977408} 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 72030187977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349534969760).

72030187977408 is an abundant number, since it is smaller than the sum of its proper divisors (158668881962112).

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

72030187977408 is a wasteful number, since it uses less digits than its factorization.

72030187977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 33191424, while the sum is 63.

The spelling of 72030187977408 in words is "seventy-two trillion, thirty billion, one hundred eighty-seven million, nine hundred seventy-seven thousand, four hundred eight".