72419298 has 64 divisors (see below), whose sum is σ = 175687680. Its totient is φ = 19440000.

The previous prime is 72419297. The next prime is 72419309. The reversal of 72419298 is 89291427.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72419297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120198 + ... + 120798.

It is an arithmetic number, because the mean of its divisors is an integer number (2745120).

Almost surely, 2^72419298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72419298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87843840).

72419298 is an abundant number, since it is smaller than the sum of its proper divisors (103268382).

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

72419298 is a wasteful number, since it uses less digits than its factorization.

72419298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783.

The product of its digits is 72576, while the sum is 42.

The square root of 72419298 is about 8509.9528788355. The cubic root of 72419298 is about 416.8227714456.

The spelling of 72419298 in words is "seventy-two million, four hundred nineteen thousand, two hundred ninety-eight".