72417800000 has 672 divisors, whose sum is σ = 232014150144. Its totient is φ = 21795840000.

The previous prime is 72417799999. The next prime is 72417800009. The reversal of 72417800000 is 871427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72417800009) 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, 418599914 + ... + 418600086.

It is an arithmetic number, because the mean of its divisors is an integer number (345259152).

Almost surely, 2^72417800000 is an apocalyptic number.

72417800000 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 72417800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116007075072).

72417800000 is an abundant number, since it is smaller than the sum of its proper divisors (159596350144).

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

72417800000 is a wasteful number, since it uses less digits than its factorization.

72417800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 72417800000 in words is "seventy-two billion, four hundred seventeen million, eight hundred thousand".