72003840 has 144 divisors (see below), whose sum is σ = 243710208. Its totient is φ = 18055168.

The previous prime is 72003829. The next prime is 72003847. The reversal of 72003840 is 4830027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72003840.

It is not an unprimeable number, because it can be changed into a prime (72003847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64729 + ... + 65831.

It is an arithmetic number, because the mean of its divisors is an integer number (1692432).

Almost surely, 2^72003840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121855104).

72003840 is an abundant number, since it is smaller than the sum of its proper divisors (171706368).

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

72003840 is a wasteful number, since it uses less digits than its factorization.

72003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72003840 is about 8485.5076453916. The cubic root of 72003840 is about 416.0241603325.

Adding to 72003840 its reverse (4830027), we get a palindrome (76833867).

The spelling of 72003840 in words is "seventy-two million, three thousand, eight hundred forty".