72104279520 has 768 divisors, whose sum is σ = 296257167360. Its totient is φ = 14314807296.

The previous prime is 72104279503. The next prime is 72104279609. The reversal of 72104279520 is 2597240127.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234867207 + ... + 234867513.

It is an arithmetic number, because the mean of its divisors is an integer number (385751520).

Almost surely, 2^72104279520 is an apocalyptic number.

72104279520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72104279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148128583680).

72104279520 is an abundant number, since it is smaller than the sum of its proper divisors (224152887840).

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

72104279520 is a wasteful number, since it uses less digits than its factorization.

72104279520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 72104279520 in words is "seventy-two billion, one hundred four million, two hundred seventy-nine thousand, five hundred twenty".