72002304 has 144 divisors (see below), whose sum is σ = 232525440. Its totient is φ = 21795840.

The previous prime is 72002303. The next prime is 72002321. The reversal of 72002304 is 40320027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72002303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75559 + ... + 76505.

It is an arithmetic number, because the mean of its divisors is an integer number (1614760).

Almost surely, 2^72002304 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 72002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116262720).

72002304 is an abundant number, since it is smaller than the sum of its proper divisors (160523136).

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

72002304 is a wasteful number, since it uses less digits than its factorization.

72002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72002304 is about 8485.4171376545. The cubic root of 72002304 is about 416.0212020752.

The spelling of 72002304 in words is "seventy-two million, two thousand, three hundred four".