72044280 has 384 divisors, whose sum is σ = 307307520. Its totient is φ = 14192640.

The previous prime is 72044263. The next prime is 72044311. The reversal of 72044280 is 8244027.

72044280 is a modest number, since divided by 44280 gives 720 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637504 + ... + 637616.

It is an arithmetic number, because the mean of its divisors is an integer number (800280).

Almost surely, 2^72044280 is an apocalyptic number.

72044280 is a gapful number since it is divisible by the number (70) 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 72044280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153653760).

72044280 is an abundant number, since it is smaller than the sum of its proper divisors (235263240).

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

72044280 is a wasteful number, since it uses less digits than its factorization.

72044280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 72044280 is about 8487.8901972163. The cubic root of 72044280 is about 416.1020305700.

The spelling of 72044280 in words is "seventy-two million, forty-four thousand, two hundred eighty".