72946560144 has 20 divisors (see below), whose sum is σ = 188445280496. Its totient is φ = 24315520032.

The previous prime is 72946560139. The next prime is 72946560151. The reversal of 72946560144 is 44106564927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1519720003 = 72946560144 / (7 + 2 + 9 + 4 + 6 + 5 + 6 + 0 + 1 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 72946560093 and 72946560102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 759859954 + ... + 759860049.

Almost surely, 2^72946560144 is an apocalyptic number.

It is an amenable number.

72946560144 is an abundant number, since it is smaller than the sum of its proper divisors (115498720352).

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

72946560144 is a wasteful number, since it uses less digits than its factorization.

72946560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519720014 (or 1519720008 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 72946560144 in words is "seventy-two billion, nine hundred forty-six million, five hundred sixty thousand, one hundred forty-four".