72057440 has 192 divisors, whose sum is σ = 215913600. Its totient is φ = 22579200.

The previous prime is 72057397. The next prime is 72057449. The reversal of 72057440 is 4475027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72057449) 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, 713390 + ... + 713490.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^72057440 is an apocalyptic number.

72057440 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 72057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

72057440 is an abundant number, since it is smaller than the sum of its proper divisors (143856160).

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

72057440 is a wasteful number, since it uses less digits than its factorization.

72057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 72057440 is about 8488.6653839105. The cubic root of 72057440 is about 416.1273648475.

The spelling of 72057440 in words is "seventy-two million, fifty-seven thousand, four hundred forty".