72848752416 has 288 divisors, whose sum is σ = 239630227200. Its totient is φ = 20760675840.

The previous prime is 72848752411. The next prime is 72848752429. The reversal of 72848752416 is 61425784827.

72848752416 is a `hidden beast` number, since 7 + 28 + 4 + 87 + 524 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (72848752411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362335 + ... + 8371041.

It is an arithmetic number, because the mean of its divisors is an integer number (832049400).

Almost surely, 2^72848752416 is an apocalyptic number.

72848752416 is a gapful number since it is divisible by the number (76) 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 72848752416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119815113600).

72848752416 is an abundant number, since it is smaller than the sum of its proper divisors (166781474784).

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

72848752416 is a wasteful number, since it uses less digits than its factorization.

72848752416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8881 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 72848752416 in words is "seventy-two billion, eight hundred forty-eight million, seven hundred fifty-two thousand, four hundred sixteen".