98055072 has 144 divisors (see below), whose sum is σ = 295783488. Its totient is φ = 30750720.

The previous prime is 98055071. The next prime is 98055101. The reversal of 98055072 is 27055089.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×98055072² = 19229594289850368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98055071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748447 + ... + 748577.

It is an arithmetic number, because the mean of its divisors is an integer number (2054052).

Almost surely, 2^98055072 is an apocalyptic number.

98055072 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 98055072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

98055072 is an abundant number, since it is smaller than the sum of its proper divisors (197728416).

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

98055072 is a wasteful number, since it uses less digits than its factorization.

98055072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 98055072 is about 9902.2761019879. The cubic root of 98055072 is about 461.1299756006.

The spelling of 98055072 in words is "ninety-eight million, fifty-five thousand, seventy-two".