72667484313600 has 2592 divisors, whose sum is σ = 285620083519680. Its totient is φ = 16279850188800.

The previous prime is 72667484313551. The next prime is 72667484313601. The reversal of 72667484313600 is 631348476627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72667484313601) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 445812787119 + ... + 445812787281.

Almost surely, 2^{72667484313600} 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 72667484313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142810041759840).

72667484313600 is an abundant number, since it is smaller than the sum of its proper divisors (212952599206080).

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

72667484313600 is a wasteful number, since it uses less digits than its factorization.

72667484313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 72667484313600 in words is "seventy-two trillion, six hundred sixty-seven billion, four hundred eighty-four million, three hundred thirteen thousand, six hundred".