72498244 has 72 divisors (see below), whose sum is σ = 163446360. Its totient is φ = 27869184.

The previous prime is 72498241. The next prime is 72498263. The reversal of 72498244 is 44289427.

It can be written as a sum of positive squares in 4 ways, for example, as 9486400 + 63011844 = 3080^2 + 7938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72498197 and 72498206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72498241) 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, 93892 + ... + 94660.

Almost surely, 2^72498244 is an apocalyptic number.

72498244 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72498244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81723180).

72498244 is an abundant number, since it is smaller than the sum of its proper divisors (90948116).

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

72498244 is a wasteful number, since it uses less digits than its factorization.

72498244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 72498244 is about 8514.5900664683. The cubic root of 72498244 is about 416.9741792484.

The spelling of 72498244 in words is "seventy-two million, four hundred ninety-eight thousand, two hundred forty-four".