72495400 has 48 divisors (see below), whose sum is σ = 169899840. Its totient is φ = 28766400.

The previous prime is 72495373. The next prime is 72495403. The reversal of 72495400 is 459427.

It is not an unprimeable number, because it can be changed into a prime (72495403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24817 + ... + 27583.

It is an arithmetic number, because the mean of its divisors is an integer number (3539580).

Almost surely, 2^72495400 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 72495400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84949920).

72495400 is an abundant number, since it is smaller than the sum of its proper divisors (97404440).

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

72495400 is a wasteful number, since it uses less digits than its factorization.

72495400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 72495400 is about 8514.4230573774. The cubic root of 72495400 is about 416.9687267482.

The spelling of 72495400 in words is "seventy-two million, four hundred ninety-five thousand, four hundred".