72178204693504 has 352 divisors, whose sum is σ = 180537054790400. Its totient is φ = 28081244602368.

The previous prime is 72178204693501. The next prime is 72178204693523. The reversal of 72178204693504 is 40539640287127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72178204693501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2374033567 + ... + 2374063969.

It is an arithmetic number, because the mean of its divisors is an integer number (512889360200).

It is a 1-persistent number, because it is pandigital, but 2⋅72178204693504 = 144356409387008 is not.

Almost surely, 2^{72178204693504} 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 72178204693504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90268527395200).

72178204693504 is an abundant number, since it is smaller than the sum of its proper divisors (108358850096896).

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

72178204693504 is a wasteful number, since it uses less digits than its factorization.

72178204693504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30865 (or 30847 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 72178204693504 in words is "seventy-two trillion, one hundred seventy-eight billion, two hundred four million, six hundred ninety-three thousand, five hundred four".