72446686400720 has 40 divisors (see below), whose sum is σ = 168521154670080. Its totient is φ = 28964462295680.

The previous prime is 72446686400629. The next prime is 72446686400731. The reversal of 72446686400720 is 2700468664427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221902496 + ... + 222228735.

It is an arithmetic number, because the mean of its divisors is an integer number (4213028866752).

Almost surely, 2^{72446686400720} is an apocalyptic number.

It is an amenable number.

72446686400720 is an abundant number, since it is smaller than the sum of its proper divisors (96074468269360).

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

72446686400720 is a wasteful number, since it uses less digits than its factorization.

72446686400720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444133283 (or 444133277 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 72446686400720 in words is "seventy-two trillion, four hundred forty-six billion, six hundred eighty-six million, four hundred thousand, seven hundred twenty".