72347380 has 48 divisors (see below), whose sum is σ = 176037120. Its totient is φ = 24461568.

The previous prime is 72347369. The next prime is 72347381. The reversal of 72347380 is 8374327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72347381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6681 + ... + 13759.

It is an arithmetic number, because the mean of its divisors is an integer number (3667440).

Almost surely, 2^72347380 is an apocalyptic number.

72347380 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 72347380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88018560).

72347380 is an abundant number, since it is smaller than the sum of its proper divisors (103689740).

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

72347380 is a wasteful number, since it uses less digits than its factorization.

72347380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 72347380 is about 8505.7263064362. The cubic root of 72347380 is about 416.6847465932.

It can be divided in two parts, 72347 and 380, that added together give a palindrome (72727).

The spelling of 72347380 in words is "seventy-two million, three hundred forty-seven thousand, three hundred eighty".