72113640 has 32 divisors (see below), whose sum is σ = 216341280. Its totient is φ = 19230272.

The previous prime is 72113621. The next prime is 72113647. The reversal of 72113640 is 4631127.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72113640.

It is not an unprimeable number, because it can be changed into a prime (72113647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 300354 + ... + 300593.

It is an arithmetic number, because the mean of its divisors is an integer number (6760665).

Almost surely, 2^72113640 is an apocalyptic number.

It is an amenable number.

72113640 is an abundant number, since it is smaller than the sum of its proper divisors (144227640).

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

72113640 is a wasteful number, since it uses less digits than its factorization.

72113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600961 (or 600957 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72113640 is about 8491.9750352907. The cubic root of 72113640 is about 416.2355206030.

Adding to 72113640 its reverse (4631127), we get a palindrome (76744767).

The spelling of 72113640 in words is "seventy-two million, one hundred thirteen thousand, six hundred forty".