72446500 has 72 divisors (see below), whose sum is σ = 184117752. Its totient is φ = 24830400.

The previous prime is 72446489. The next prime is 72446533. The reversal of 72446500 is 564427.

It can be written as a sum of positive squares in 4 ways, for example, as 10099684 + 62346816 = 3178^2 + 7896^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23022 + ... + 25978.

It is an arithmetic number, because the mean of its divisors is an integer number (2557191).

Almost surely, 2^72446500 is an apocalyptic number.

72446500 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 72446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92058876).

72446500 is an abundant number, since it is smaller than the sum of its proper divisors (111671252).

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

72446500 is a wasteful number, since it uses less digits than its factorization.

72446500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 72446500 is about 8511.5509749986. The cubic root of 72446500 is about 416.8749536401.

The spelling of 72446500 in words is "seventy-two million, four hundred forty-six thousand, five hundred".