72714240 has 192 divisors, whose sum is σ = 259459200. Its totient is φ = 19316736.

The previous prime is 72714211. The next prime is 72714241. The reversal of 72714240 is 4241727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72714241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276349 + ... + 276611.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 2^72714240 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 72714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

72714240 is an abundant number, since it is smaller than the sum of its proper divisors (186744960).

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

72714240 is a wasteful number, since it uses less digits than its factorization.

72714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72714240 is about 8527.2645086217. The cubic root of 72714240 is about 417.3878695370.

Adding to 72714240 its reverse (4241727), we get a palindrome (76955967).

It can be divided in two parts, 7271 and 4240, that added together give a palindrome (11511).

The spelling of 72714240 in words is "seventy-two million, seven hundred fourteen thousand, two hundred forty".