72028896 has 48 divisors (see below), whose sum is σ = 190212624. Its totient is φ = 23865344.

The previous prime is 72028849. The next prime is 72028897. The reversal of 72028896 is 69882027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72028897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14440 + ... + 18776.

It is an arithmetic number, because the mean of its divisors is an integer number (3962763).

Almost surely, 2^72028896 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 72028896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95106312).

72028896 is an abundant number, since it is smaller than the sum of its proper divisors (118183728).

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

72028896 is a wasteful number, since it uses less digits than its factorization.

72028896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 72028896 is about 8486.9839165631. The cubic root of 72028896 is about 416.0724109651.

The spelling of 72028896 in words is "seventy-two million, twenty-eight thousand, eight hundred ninety-six".