98001972 has 72 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 31363200.

The previous prime is 98001961. The next prime is 98001979. The reversal of 98001972 is 27910089.

It is a happy number.

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 (98001979) 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, 98397 + ... + 99387.

Almost surely, 2^98001972 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 98001972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

98001972 is an abundant number, since it is smaller than the sum of its proper divisors (159814860).

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

98001972 is a wasteful number, since it uses less digits than its factorization.

98001972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 98001972 is about 9899.5945371515. The cubic root of 98001972 is about 461.0467216274.

The spelling of 98001972 in words is "ninety-eight million, one thousand, nine hundred seventy-two".