72206325504 has 288 divisors, whose sum is σ = 228239907840. Its totient is φ = 22437347328.

The previous prime is 72206325493. The next prime is 72206325509. The reversal of 72206325504 is 40552360227.

72206325504 is a `hidden beast` number, since 72 + 2 + 0 + 6 + 32 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (72206325509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12570057 + ... + 12575799.

It is an arithmetic number, because the mean of its divisors is an integer number (792499680).

Almost surely, 2^72206325504 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 72206325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114119953920).

72206325504 is an abundant number, since it is smaller than the sum of its proper divisors (156033582336).

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

72206325504 is a wasteful number, since it uses less digits than its factorization.

72206325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 72206325504 in words is "seventy-two billion, two hundred six million, three hundred twenty-five thousand, five hundred four".