72140640 has 192 divisors, whose sum is σ = 267224832. Its totient is φ = 16128000.

The previous prime is 72140623. The next prime is 72140683. The reversal of 72140640 is 4604127.

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 72140640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68115 + ... + 69165.

It is an arithmetic number, because the mean of its divisors is an integer number (1391796).

Almost surely, 2^72140640 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 72140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133612416).

72140640 is an abundant number, since it is smaller than the sum of its proper divisors (195084192).

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

72140640 is a wasteful number, since it uses less digits than its factorization.

72140640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72140640 is about 8493.5646227011. The cubic root of 72140640 is about 416.2874615709.

Adding to 72140640 its reverse (4604127), we get a palindrome (76744767).

The spelling of 72140640 in words is "seventy-two million, one hundred forty thousand, six hundred forty".