72775148544 has 616 divisors, whose sum is σ = 262756850240. Its totient is φ = 19671662592.

The previous prime is 72775148533. The next prime is 72775148597. The reversal of 72775148544 is 44584157727.

72775148544 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 51 + 48 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99283602 + ... + 99284334.

Almost surely, 2^72775148544 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 72775148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131378425120).

72775148544 is an abundant number, since it is smaller than the sum of its proper divisors (189981701696).

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

72775148544 is an equidigital number, since it uses as much as digits as its factorization.

72775148544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 764 counting only the distinct ones).

The product of its digits is 8780800, while the sum is 54.

The spelling of 72775148544 in words is "seventy-two billion, seven hundred seventy-five million, one hundred forty-eight thousand, five hundred forty-four".