72240000 has 320 divisors, whose sum is σ = 280410240. Its totient is φ = 16128000.

The previous prime is 72239989. The next prime is 72240031. The reversal of 72240000 is 4227.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679979 + ... + 1680021.

It is an arithmetic number, because the mean of its divisors is an integer number (876282).

Almost surely, 2^72240000 is an apocalyptic number.

72240000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140205120).

72240000 is an abundant number, since it is smaller than the sum of its proper divisors (208170240).

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

72240000 is an equidigital number, since it uses as much as digits as its factorization.

72240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 72240000 is about 8499.4117443503. The cubic root of 72240000 is about 416.4784928080.

Adding to 72240000 its reverse (4227), we get a palindrome (72244227).

The spelling of 72240000 in words is "seventy-two million, two hundred forty thousand".