72356 has 6 divisors (see below), whose sum is σ = 126630. Its totient is φ = 36176.

The previous prime is 72353. The next prime is 72367. The reversal of 72356 is 65327.

It can be written as a sum of positive squares in only one way, i.e., 70756 + 1600 = 266^2 + 40^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (72353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9041 + ... + 9048.

It is an arithmetic number, because the mean of its divisors is an integer number (21105).

2⁷²³⁵⁶ is an apocalyptic number.

It is an amenable number.

72356 is a deficient number, since it is larger than the sum of its proper divisors (54274).

72356 is a wasteful number, since it uses less digits than its factorization.

72356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18093 (or 18091 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 72356 is about 268.9907061592. The cubic root of 72356 is about 41.6701294900.

The spelling of 72356 in words is "seventy-two thousand, three hundred fifty-six".