72918280512 has 448 divisors, whose sum is σ = 268497100800. Its totient is φ = 18852341760.

The previous prime is 72918280493. The next prime is 72918280537. The reversal of 72918280512 is 21508281927.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31799238 + ... + 31801530.

Almost surely, 2^72918280512 is an apocalyptic number.

72918280512 is a gapful number since it is divisible by the number (72) 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 72918280512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134248550400).

72918280512 is an abundant number, since it is smaller than the sum of its proper divisors (195578820288).

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

72918280512 is a wasteful number, since it uses less digits than its factorization.

72918280512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 72918280512 in words is "seventy-two billion, nine hundred eighteen million, two hundred eighty thousand, five hundred twelve".