72116286 has 64 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 20498400.

The previous prime is 72116281. The next prime is 72116287. The reversal of 72116286 is 68261127.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72116281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164055 + ... + 164493.

It is an arithmetic number, because the mean of its divisors is an integer number (2613600).

Almost surely, 2^72116286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72116286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

72116286 is an abundant number, since it is smaller than the sum of its proper divisors (95154114).

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

72116286 is a wasteful number, since it uses less digits than its factorization.

72116286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605.

The product of its digits is 8064, while the sum is 33.

The square root of 72116286 is about 8492.1308280078. The cubic root of 72116286 is about 416.2406113908.

The spelling of 72116286 in words is "seventy-two million, one hundred sixteen thousand, two hundred eighty-six".