72098 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 32016.

The previous prime is 72091. The next prime is 72101. The reversal of 72098 is 89027.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (72091) by changing a digit.

72098 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1193 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁷²⁰⁹⁸ is an apocalyptic number.

72098 is a deficient number, since it is larger than the sum of its proper divisors (48862).

72098 is a wasteful number, since it uses less digits than its factorization.

72098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 72098 is about 268.5107074215. The cubic root of 72098 is about 41.6205427386.

It can be divided in two parts, 720 and 98, that added together give a palindrome (818).

The spelling of 72098 in words is "seventy-two thousand, ninety-eight".