72886140 has 72 divisors (see below), whose sum is σ = 234102960. Its totient is φ = 18292224.

The previous prime is 72886139. The next prime is 72886141. The reversal of 72886140 is 4168827.

It is an interprime number because it is at equal distance from previous prime (72886139) and next prime (72886141).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72886095 and 72886104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72886141) 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 23 ways as a sum of consecutive naturals, for example, 8850 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (3251430).

Almost surely, 2^72886140 is an apocalyptic number.

It is an amenable number.

72886140 is an abundant number, since it is smaller than the sum of its proper divisors (161216820).

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

72886140 is a wasteful number, since it uses less digits than its factorization.

72886140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23851 (or 23846 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72886140 is about 8537.3379926064. The cubic root of 72886140 is about 417.7165190998.

It can be divided in two parts, 728 and 86140, that added together give a palindrome (86868).

The spelling of 72886140 in words is "seventy-two million, eight hundred eighty-six thousand, one hundred forty".