98272512 has 216 divisors, whose sum is σ = 324762984. Its totient is φ = 28311552.

The previous prime is 98272507. The next prime is 98272523. The reversal of 98272512 is 21527289.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 94012416 = 2064^2 + 9696^2 .

It is a super-2 number, since 2×98272512² = 19314973229580288, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 509088 + ... + 509280.

Almost surely, 2^98272512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162381492).

98272512 is an abundant number, since it is smaller than the sum of its proper divisors (226490472).

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

98272512 is a wasteful number, since it uses less digits than its factorization.

98272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 98272512 is about 9913.2493159408. The cubic root of 98272512 is about 461.4705803758.

The spelling of 98272512 in words is "ninety-eight million, two hundred seventy-two thousand, five hundred twelve".