72354 has 16 divisors (see below), whose sum is σ = 149760. Its totient is φ = 23280.

The previous prime is 72353. The next prime is 72367. The reversal of 72354 is 45327.

72354 = 1⁸ + 2⁸ + ... + 4⁸.

It is a happy number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 72354.

It is a congruent number.

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 in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁷²³⁵⁴ is an apocalyptic number.

72354 is an abundant number, since it is smaller than the sum of its proper divisors (77406).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

72354 is a wasteful number, since it uses less digits than its factorization.

72354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425.

The product of its digits is 840, while the sum is 21.

The square root of 72354 is about 268.9869885329. The cubic root of 72354 is about 41.6697455503.

It can be divided in two parts, 723 and 54, that added together give a palindrome (777).

The spelling of 72354 in words is "seventy-two thousand, three hundred fifty-four".