72016916400 has 1440 divisors, whose sum is σ = 322124739840. Its totient is φ = 15095808000.

The previous prime is 72016916393. The next prime is 72016916441. The reversal of 72016916400 is 461961027.

72016916400 is a `hidden beast` number, since 7 + 2 + 0 + 1 + 6 + 9 + 1 + 640 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 341312295 + ... + 341312505.

It is an arithmetic number, because the mean of its divisors is an integer number (223697736).

Almost surely, 2^72016916400 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 72016916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161062369920).

72016916400 is an abundant number, since it is smaller than the sum of its proper divisors (250107823440).

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

72016916400 is a wasteful number, since it uses less digits than its factorization.

72016916400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 72016916400 in words is "seventy-two billion, sixteen million, nine hundred sixteen thousand, four hundred".