72624240 has 120 divisors (see below), whose sum is σ = 262691520. Its totient is φ = 17874432.

The previous prime is 72624203. The next prime is 72624241. The reversal of 72624240 is 4242627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72624241) 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, 5481 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (2189096).

Almost surely, 2^72624240 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 72624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131345760).

72624240 is an abundant number, since it is smaller than the sum of its proper divisors (190067280).

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

72624240 is a wasteful number, since it uses less digits than its factorization.

72624240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 72624240 is about 8521.9856840997. The cubic root of 72624240 is about 417.2155950864.

Adding to 72624240 its reverse (4242627), we get a palindrome (76866867).

The spelling of 72624240 in words is "seventy-two million, six hundred twenty-four thousand, two hundred forty".