72381348 has 54 divisors (see below), whose sum is σ = 198137394. Its totient is φ = 22269312.

The previous prime is 72381343. The next prime is 72381367. The reversal of 72381348 is 84318327.

It can be written as a sum of positive squares in 3 ways, for example, as 8892324 + 63489024 = 2982^2 + 7968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72381343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136 + ... + 12032.

It is an arithmetic number, because the mean of its divisors is an integer number (3669211).

Almost surely, 2^72381348 is an apocalyptic number.

72381348 is a gapful number since it is divisible by the number (78) 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 72381348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99068697).

72381348 is an abundant number, since it is smaller than the sum of its proper divisors (125756046).

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

72381348 is a wasteful number, since it uses less digits than its factorization.

72381348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11933 (or 11915 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72381348 is about 8507.7228445689. The cubic root of 72381348 is about 416.7499492903.

The spelling of 72381348 in words is "seventy-two million, three hundred eighty-one thousand, three hundred forty-eight".