72298980 has 120 divisors (see below), whose sum is σ = 244322232. Its totient is φ = 17791488.

The previous prime is 72298973. The next prime is 72298987. The reversal of 72298980 is 8989227.

It is an interprime number because it is at equal distance from previous prime (72298973) and next prime (72298987).

It can be written as a sum of positive squares in 4 ways, for example, as 116964 + 72182016 = 342^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72298987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19344 + ... + 22776.

Almost surely, 2^72298980 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 72298980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122161116).

72298980 is an abundant number, since it is smaller than the sum of its proper divisors (172023252).

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

72298980 is a wasteful number, since it uses less digits than its factorization.

72298980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 72298980 is about 8502.8806883315. The cubic root of 72298980 is about 416.5918059287.

The spelling of 72298980 in words is "seventy-two million, two hundred ninety-eight thousand, nine hundred eighty".