72396000 has 144 divisors (see below), whose sum is σ = 257061168. Its totient is φ = 19296000.

The previous prime is 72395993. The next prime is 72396007. The reversal of 72396000 is 69327.

It is an interprime number because it is at equal distance from previous prime (72395993) and next prime (72396007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72396007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34995 + ... + 37005.

It is an arithmetic number, because the mean of its divisors is an integer number (1785147).

Almost surely, 2^72396000 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 72396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128530584).

72396000 is an abundant number, since it is smaller than the sum of its proper divisors (184665168).

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

72396000 is a wasteful number, since it uses less digits than its factorization.

72396000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72396000 is about 8508.5839009791. The cubic root of 72396000 is about 416.7780679905.

The spelling of 72396000 in words is "seventy-two million, three hundred ninety-six thousand".