98072 has 32 divisors (see below), whose sum is σ = 211680. Its totient is φ = 42240.

The previous prime is 98057. The next prime is 98081. The reversal of 98072 is 27089.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2372 + ... + 2412.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁹⁸⁰⁷² is an apocalyptic number.

98072 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

98072 is an abundant number, since it is smaller than the sum of its proper divisors (113608).

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

98072 is a wasteful number, since it uses less digits than its factorization.

98072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 79 counting only the distinct ones).

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

The square root of 98072 is about 313.1644935174. The cubic root of 98072 is about 46.1156510210.

The spelling of 98072 in words is "ninety-eight thousand, seventy-two".