72366240 has 96 divisors (see below), whose sum is σ = 230247360. Its totient is φ = 19103744.

The previous prime is 72366227. The next prime is 72366241. The reversal of 72366240 is 4266327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 72366198 and 72366207.

It is not an unprimeable number, because it can be changed into a prime (72366241) 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, 50656 + ... + 52064.

It is an arithmetic number, because the mean of its divisors is an integer number (2398410).

Almost surely, 2^72366240 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 72366240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115123680).

72366240 is an abundant number, since it is smaller than the sum of its proper divisors (157881120).

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

72366240 is a wasteful number, since it uses less digits than its factorization.

72366240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 72366240 is about 8506.8348990679. The cubic root of 72366240 is about 416.7209515050.

The spelling of 72366240 in words is "seventy-two million, three hundred sixty-six thousand, two hundred forty".