72494000216 has 64 divisors (see below), whose sum is σ = 153135360000. Its totient is φ = 31874515200.

The previous prime is 72494000197. The next prime is 72494000221. The reversal of 72494000216 is 61200049427.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8051285 + ... + 8060283.

It is an arithmetic number, because the mean of its divisors is an integer number (2392740000).

Almost surely, 2^72494000216 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 72494000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76567680000).

72494000216 is an abundant number, since it is smaller than the sum of its proper divisors (80641359784).

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

72494000216 is a wasteful number, since it uses less digits than its factorization.

With its successor (72494000217) it forms an eRAP, since the sums of their prime factors are consecutive (12000 and 12001).

72494000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12000 (or 11996 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 72494000216 in words is "seventy-two billion, four hundred ninety-four million, two hundred sixteen", and thus it is an aban number.