72472344 has 128 divisors (see below), whose sum is σ = 216691200. Its totient is φ = 19768320.

The previous prime is 72472339. The next prime is 72472349. The reversal of 72472344 is 44327427.

It is an interprime number because it is at equal distance from previous prime (72472339) and next prime (72472349).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72472349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553159 + ... + 553289.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 2^72472344 is an apocalyptic number.

72472344 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 72472344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108345600).

72472344 is an abundant number, since it is smaller than the sum of its proper divisors (144218856).

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

72472344 is a wasteful number, since it uses less digits than its factorization.

72472344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 37632, while the sum is 33.

The square root of 72472344 is about 8513.0690118194. The cubic root of 72472344 is about 416.9245186545.

It can be divided in two parts, 7247 and 2344, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 72472344 in words is "seventy-two million, four hundred seventy-two thousand, three hundred forty-four".