72335340 has 288 divisors, whose sum is σ = 290594304. Its totient is φ = 14100480.

The previous prime is 72335321. The next prime is 72335353. The reversal of 72335340 is 4353327.

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, 235467 + ... + 235773.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 2^72335340 is an apocalyptic number.

72335340 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 72335340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

72335340 is an abundant number, since it is smaller than the sum of its proper divisors (218258964).

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

72335340 is a wasteful number, since it uses less digits than its factorization.

72335340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 72335340 is about 8505.0185184984. The cubic root of 72335340 is about 416.6616305169.

Adding to 72335340 its reverse (4353327), we get a palindrome (76688667).

It can be divided in two parts, 723 and 35340, that added together give a palindrome (36063).

The spelling of 72335340 in words is "seventy-two million, three hundred thirty-five thousand, three hundred forty".