72745088948 has 72 divisors (see below), whose sum is σ = 156086693280. Its totient is φ = 29496882240.

The previous prime is 72745088921. The next prime is 72745088959. The reversal of 72745088948 is 84988054727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2918378 + ... + 2943198.

It is an arithmetic number, because the mean of its divisors is an integer number (2167870740).

Almost surely, 2^72745088948 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 72745088948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78043346640).

72745088948 is an abundant number, since it is smaller than the sum of its proper divisors (83341604332).

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

72745088948 is a wasteful number, since it uses less digits than its factorization.

72745088948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25645 (or 25636 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 62.

The spelling of 72745088948 in words is "seventy-two billion, seven hundred forty-five million, eighty-eight thousand, nine hundred forty-eight".