72716140 has 48 divisors (see below), whose sum is σ = 184790592. Its totient is φ = 23463936.

The previous prime is 72716117. The next prime is 72716153. The reversal of 72716140 is 4161727.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 72716099 and 72716108.

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, 12897 + ... + 17656.

It is an arithmetic number, because the mean of its divisors is an integer number (3849804).

Almost surely, 2^72716140 is an apocalyptic number.

72716140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72716140 is an abundant number, since it is smaller than the sum of its proper divisors (112074452).

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

72716140 is a wasteful number, since it uses less digits than its factorization.

72716140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30586 (or 30584 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72716140 is about 8527.3759152508. The cubic root of 72716140 is about 417.3915049094.

Adding to 72716140 its reverse (4161727), we get a palindrome (76877867).

The spelling of 72716140 in words is "seventy-two million, seven hundred sixteen thousand, one hundred forty".