72326973456 has 240 divisors, whose sum is σ = 212641628160. Its totient is φ = 22922403840.

The previous prime is 72326973449. The next prime is 72326973469. The reversal of 72326973456 is 65437962327.

72326973456 is a `hidden beast` number, since 7 + 232 + 69 + 7 + 345 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64062300 + ... + 64063428.

It is an arithmetic number, because the mean of its divisors is an integer number (886006784).

Almost surely, 2^72326973456 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 72326973456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106320814080).

72326973456 is an abundant number, since it is smaller than the sum of its proper divisors (140314654704).

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

72326973456 is a wasteful number, since it uses less digits than its factorization.

72326973456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1405 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 72326973456 in words is "seventy-two billion, three hundred twenty-six million, nine hundred seventy-three thousand, four hundred fifty-six".