72434016 has 72 divisors (see below), whose sum is σ = 210810600. Its totient is φ = 23579136.

The previous prime is 72434009. The next prime is 72434041. The reversal of 72434016 is 61043427.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9460 + ... + 15308.

It is an arithmetic number, because the mean of its divisors is an integer number (2927925).

Almost surely, 2^72434016 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 72434016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105405300).

72434016 is an abundant number, since it is smaller than the sum of its proper divisors (138376584).

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

72434016 is a wasteful number, since it uses less digits than its factorization.

72434016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72434016 is about 8510.8175870477. The cubic root of 72434016 is about 416.8510069306.

The spelling of 72434016 in words is "seventy-two million, four hundred thirty-four thousand, sixteen".