72349440 has 144 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 18976768.

The previous prime is 72349439. The next prime is 72349447. The reversal of 72349440 is 4494327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72349447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318607 + ... + 318833.

It is an arithmetic number, because the mean of its divisors is an integer number (1631112).

Almost surely, 2^72349440 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 72349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

72349440 is an abundant number, since it is smaller than the sum of its proper divisors (162530688).

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

72349440 is a wasteful number, since it uses less digits than its factorization.

72349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 72349440 is about 8505.8474004652. The cubic root of 72349440 is about 416.6887014125.

The spelling of 72349440 in words is "seventy-two million, three hundred forty-nine thousand, four hundred forty".