72244458 has 144 divisors (see below), whose sum is σ = 197323776. Its totient is φ = 18869760.

The previous prime is 72244457. The next prime is 72244463. The reversal of 72244458 is 85444227.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72244457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568791 + ... + 568917.

It is an arithmetic number, because the mean of its divisors is an integer number (1370304).

Almost surely, 2^72244458 is an apocalyptic number.

72244458 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72244458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98661888).

72244458 is an abundant number, since it is smaller than the sum of its proper divisors (125079318).

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

72244458 is a wasteful number, since it uses less digits than its factorization.

72244458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 72244458 is about 8499.6739937482. The cubic root of 72244458 is about 416.4870597281.

The spelling of 72244458 in words is "seventy-two million, two hundred forty-four thousand, four hundred fifty-eight".