72646000 has 80 divisors (see below), whose sum is σ = 200790720. Its totient is φ = 24902400.

The previous prime is 72645997. The next prime is 72646009. The reversal of 72646000 is 64627.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72646009) 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, 11406 + ... + 16594.

It is an arithmetic number, because the mean of its divisors is an integer number (2509884).

Almost surely, 2^72646000 is an apocalyptic number.

72646000 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 72646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100395360).

72646000 is an abundant number, since it is smaller than the sum of its proper divisors (128144720).

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

72646000 is a wasteful number, since it uses less digits than its factorization.

72646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72646000 is about 8523.2622862376. The cubic root of 72646000 is about 417.2572602604.

The spelling of 72646000 in words is "seventy-two million, six hundred forty-six thousand".