72653640048 has 480 divisors, whose sum is σ = 246761349120. Its totient is φ = 19704384000.

The previous prime is 72653640013. The next prime is 72653640049. The reversal of 72653640048 is 84004635627.

72653640048 is a `hidden beast` number, since 72 + 6 + 536 + 4 + 0 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 72653639985 and 72653640012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72653640049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40117063 + ... + 40118873.

It is an arithmetic number, because the mean of its divisors is an integer number (514086144).

Almost surely, 2^72653640048 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 72653640048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123380674560).

72653640048 is an abundant number, since it is smaller than the sum of its proper divisors (174107709072).

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

72653640048 is a wasteful number, since it uses less digits than its factorization.

72653640048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72653640048 in words is "seventy-two billion, six hundred fifty-three million, six hundred forty thousand, forty-eight".