727094016 has 288 divisors, whose sum is σ = 2395895040. Its totient is φ = 215654400.

The previous prime is 727093981. The next prime is 727094021. The reversal of 727094016 is 610490727.

It is a happy number.

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

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

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, 5550271 + ... + 5550401.

It is an arithmetic number, because the mean of its divisors is an integer number (8319080).

Almost surely, 2^727094016 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 727094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197947520).

727094016 is an abundant number, since it is smaller than the sum of its proper divisors (1668801024).

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

727094016 is a wasteful number, since it uses less digits than its factorization.

727094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 727094016 is about 26964.6808992801. The cubic root of 727094016 is about 899.2149598791.

The spelling of 727094016 in words is "seven hundred twenty-seven million, ninety-four thousand, sixteen".