72771140 has 48 divisors (see below), whose sum is σ = 173248320. Its totient is φ = 25453440.

The previous prime is 72771137. The next prime is 72771143. The reversal of 72771140 is 4117727.

It is an interprime number because it is at equal distance from previous prime (72771137) and next prime (72771143).

It is not an unprimeable number, because it can be changed into a prime (72771143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2426 + ... + 12305.

It is an arithmetic number, because the mean of its divisors is an integer number (3609340).

Almost surely, 2^72771140 is an apocalyptic number.

It is an amenable number.

72771140 is an abundant number, since it is smaller than the sum of its proper divisors (100477180).

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

72771140 is a wasteful number, since it uses less digits than its factorization.

72771140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

The square root of 72771140 is about 8530.6002133496. The cubic root of 72771140 is about 417.4967119394.

Adding to 72771140 its reverse (4117727), we get a palindrome (76888867).

The spelling of 72771140 in words is "seventy-two million, seven hundred seventy-one thousand, one hundred forty".