72644000 has 192 divisors, whose sum is σ = 211341312. Its totient is φ = 24192000.

The previous prime is 72643997. The next prime is 72644003. The reversal of 72644000 is 44627.

It is an interprime number because it is at equal distance from previous prime (72643997) and next prime (72644003).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72644003) 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 31 ways as a sum of consecutive naturals, for example, 571937 + ... + 572063.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^72644000 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 72644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

72644000 is an abundant number, since it is smaller than the sum of its proper divisors (138697312).

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

72644000 is a wasteful number, since it uses less digits than its factorization.

72644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 72644000 is about 8523.1449594619. The cubic root of 72644000 is about 417.2534310879.

Adding to 72644000 its reverse (44627), we get a palindrome (72688627).

The spelling of 72644000 in words is "seventy-two million, six hundred forty-four thousand".