72711249840 has 60 divisors (see below), whose sum is σ = 244188616464. Its totient is φ = 19389666432.

The previous prime is 72711249839. The next prime is 72711249851. The reversal of 72711249840 is 4894211727.

72711249840 is a `hidden beast` number, since 7 + 2 + 7 + 112 + 498 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50493204 + ... + 50494643.

Almost surely, 2^72711249840 is an apocalyptic number.

It is an amenable number.

72711249840 is an abundant number, since it is smaller than the sum of its proper divisors (171477366624).

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

72711249840 is a wasteful number, since it uses less digits than its factorization.

72711249840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100987866 (or 100987857 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72711249840 in words is "seventy-two billion, seven hundred eleven million, two hundred forty-nine thousand, eight hundred forty".