72628791144 has 384 divisors, whose sum is σ = 247762851840. Its totient is φ = 17240813568.

The previous prime is 72628791139. The next prime is 72628791149. The reversal of 72628791144 is 44119782627.

It is an interprime number because it is at equal distance from previous prime (72628791139) and next prime (72628791149).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (72628791149) 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, 14514547 + ... + 14519549.

It is an arithmetic number, because the mean of its divisors is an integer number (645215760).

Almost surely, 2^72628791144 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 72628791144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123881425920).

72628791144 is an abundant number, since it is smaller than the sum of its proper divisors (175134060696).

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

72628791144 is a wasteful number, since it uses less digits than its factorization.

72628791144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5068 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The spelling of 72628791144 in words is "seventy-two billion, six hundred twenty-eight million, seven hundred ninety-one thousand, one hundred forty-four".