72417240 has 320 divisors, whose sum is σ = 289935360. Its totient is φ = 15863040.

The previous prime is 72417217. The next prime is 72417259. The reversal of 72417240 is 4271427.

It is a happy number.

72417240 is a `hidden beast` number, since 7 + 2 + 417 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 703029 + ... + 703131.

It is an arithmetic number, because the mean of its divisors is an integer number (906048).

Almost surely, 2^72417240 is an apocalyptic number.

72417240 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 72417240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967680).

72417240 is an abundant number, since it is smaller than the sum of its proper divisors (217518120).

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

72417240 is a wasteful number, since it uses less digits than its factorization.

72417240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

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

The square root of 72417240 is about 8509.8319607381. The cubic root of 72417240 is about 416.8188230073.

Adding to 72417240 its reverse (4271427), we get a palindrome (76688667).

The spelling of 72417240 in words is "seventy-two million, four hundred seventeen thousand, two hundred forty".