72618140 has 48 divisors (see below), whose sum is σ = 175234752. Its totient is φ = 24761856.

The previous prime is 72618127. The next prime is 72618157. The reversal of 72618140 is 4181627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26264 + ... + 28896.

It is an arithmetic number, because the mean of its divisors is an integer number (3650724).

Almost surely, 2^72618140 is an apocalyptic number.

72618140 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 72618140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87617376).

72618140 is an abundant number, since it is smaller than the sum of its proper divisors (102616612).

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

72618140 is a wasteful number, since it uses less digits than its factorization.

72618140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 72618140 is about 8521.6277787756. The cubic root of 72618140 is about 417.2039135579.

Adding to 72618140 its reverse (4181627), we get a palindrome (76799767).

The spelling of 72618140 in words is "seventy-two million, six hundred eighteen thousand, one hundred forty".