72366678042624 has 960 divisors, whose sum is σ = 262233078307200. Its totient is φ = 19410201870336.

The previous prime is 72366678042619. The next prime is 72366678042647. The reversal of 72366678042624 is 42624087666327.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8073930367 + ... + 8073939329.

It is an arithmetic number, because the mean of its divisors is an integer number (273159456570).

Almost surely, 2^{72366678042624} 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 72366678042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131116539153600).

72366678042624 is an abundant number, since it is smaller than the sum of its proper divisors (189866400264576).

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

72366678042624 is a wasteful number, since it uses less digits than its factorization.

72366678042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 63.

The spelling of 72366678042624 in words is "seventy-two trillion, three hundred sixty-six billion, six hundred seventy-eight million, forty-two thousand, six hundred twenty-four".