72682344 has 144 divisors (see below), whose sum is σ = 239460000. Its totient is φ = 19505664.

The previous prime is 72682343. The next prime is 72682387. The reversal of 72682344 is 44328627.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72682299 and 72682308.

It is not an unprimeable number, because it can be changed into a prime (72682343) 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 35 ways as a sum of consecutive naturals, for example, 145407 + ... + 145905.

Almost surely, 2^72682344 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 72682344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119730000).

72682344 is an abundant number, since it is smaller than the sum of its proper divisors (166777656).

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

72682344 is a wasteful number, since it uses less digits than its factorization.

72682344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 528 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72682344 is about 8525.3940671385. The cubic root of 72682344 is about 417.3268317423.

The spelling of 72682344 in words is "seventy-two million, six hundred eighty-two thousand, three hundred forty-four".