72326940 has 144 divisors (see below), whose sum is σ = 239514912. Its totient is φ = 16257024.

The previous prime is 72326929. The next prime is 72326951. The reversal of 72326940 is 4962327.

It is an interprime number because it is at equal distance from previous prime (72326929) and next prime (72326951).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214452 + ... + 214788.

It is an arithmetic number, because the mean of its divisors is an integer number (1663298).

Almost surely, 2^72326940 is an apocalyptic number.

72326940 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 72326940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119757456).

72326940 is an abundant number, since it is smaller than the sum of its proper divisors (167187972).

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

72326940 is a wasteful number, since it uses less digits than its factorization.

72326940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72326940 is about 8504.5246780758. The cubic root of 72326940 is about 416.6455015027.

The spelling of 72326940 in words is "seventy-two million, three hundred twenty-six thousand, nine hundred forty".