72369648 has 120 divisors (see below), whose sum is σ = 221753168. Its totient is φ = 21897216.

The previous prime is 72369637. The next prime is 72369653. The reversal of 72369648 is 84696327.

It is a congruent number.

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, 125136 + ... + 125712.

Almost surely, 2^72369648 is an apocalyptic number.

72369648 is a gapful number since it is divisible by the number (78) 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 72369648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110876584).

72369648 is an abundant number, since it is smaller than the sum of its proper divisors (149383520).

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

72369648 is a wasteful number, since it uses less digits than its factorization.

72369648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72369648 is about 8507.0352062278. The cubic root of 72369648 is about 416.7274930577.

The spelling of 72369648 in words is "seventy-two million, three hundred sixty-nine thousand, six hundred forty-eight".