72582440 has 128 divisors (see below), whose sum is σ = 195644160. Its totient is φ = 23721984.

The previous prime is 72582431. The next prime is 72582467. The reversal of 72582440 is 4428527.

It is a junction number, because it is equal to n+sod(n) for n = 72582397 and 72582406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994244 + ... + 994316.

It is an arithmetic number, because the mean of its divisors is an integer number (1528470).

Almost surely, 2^72582440 is an apocalyptic number.

72582440 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 72582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97822080).

72582440 is an abundant number, since it is smaller than the sum of its proper divisors (123061720).

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

72582440 is a wasteful number, since it uses less digits than its factorization.

72582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 72582440 is about 8519.5328510429. The cubic root of 72582440 is about 417.1355347704.

The spelling of 72582440 in words is "seventy-two million, five hundred eighty-two thousand, four hundred forty".