72051352416 has 192 divisors, whose sum is σ = 223045099200. Its totient is φ = 22550151168.

The previous prime is 72051352403. The next prime is 72051352423. The reversal of 72051352416 is 61425315027.

72051352416 is a `hidden beast` number, since 7 + 205 + 1 + 35 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6354240 + ... + 6365568.

It is an arithmetic number, because the mean of its divisors is an integer number (1161693225).

Almost surely, 2^72051352416 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 72051352416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111522549600).

72051352416 is an abundant number, since it is smaller than the sum of its proper divisors (150993746784).

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

72051352416 is a wasteful number, since it uses less digits than its factorization.

72051352416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 11784 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 72051352416 in words is "seventy-two billion, fifty-one million, three hundred fifty-two thousand, four hundred sixteen".