72495648 has 72 divisors (see below), whose sum is σ = 213817968. Its totient is φ = 24162624.

The previous prime is 72495629. The next prime is 72495677. The reversal of 72495648 is 84659427.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (2969694).

Almost surely, 2^72495648 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 72495648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106908984).

72495648 is an abundant number, since it is smaller than the sum of its proper divisors (141322320).

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

72495648 is an equidigital number, since it uses as much as digits as its factorization.

72495648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9348 (or 9328 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72495648 is about 8514.4376208884. The cubic root of 72495648 is about 416.9692022180.

The spelling of 72495648 in words is "seventy-two million, four hundred ninety-five thousand, six hundred forty-eight".