72984402 has 40 divisors (see below), whose sum is σ = 164269116. Its totient is φ = 24219648.

The previous prime is 72984397. The next prime is 72984403. The reversal of 72984402 is 20448927.

It can be written as a sum of positive squares in 2 ways, for example, as 72948681 + 35721 = 8541^2 + 189^2 .

It is not an unprimeable number, because it can be changed into a prime (72984403) 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 19 ways as a sum of consecutive naturals, for example, 40758 + ... + 42510.

Almost surely, 2^72984402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72984402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82134558).

72984402 is an abundant number, since it is smaller than the sum of its proper divisors (91284714).

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

72984402 is a wasteful number, since it uses less digits than its factorization.

72984402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72984402 is about 8543.0908926454. The cubic root of 72984402 is about 417.9041506991.

The spelling of 72984402 in words is "seventy-two million, nine hundred eighty-four thousand, four hundred two".