72019296 has 72 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 23175936.

The previous prime is 72019271. The next prime is 72019309. The reversal of 72019296 is 69291027.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 72019296.

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, 4041 + ... + 12663.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^72019296 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 72019296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

72019296 is an abundant number, since it is smaller than the sum of its proper divisors (139872384).

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

72019296 is a wasteful number, since it uses less digits than its factorization.

72019296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 72019296 is about 8486.4183257721. The cubic root of 72019296 is about 416.0539254552.

The spelling of 72019296 in words is "seventy-two million, nineteen thousand, two hundred ninety-six".