72393888 has 96 divisors (see below), whose sum is σ = 229993344. Its totient is φ = 19464192.

The previous prime is 72393883. The next prime is 72393911. The reversal of 72393888 is 88839327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72393883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8256 + ... + 14592.

It is an arithmetic number, because the mean of its divisors is an integer number (2395764).

Almost surely, 2^72393888 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 72393888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114996672).

72393888 is an abundant number, since it is smaller than the sum of its proper divisors (157599456).

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

72393888 is a wasteful number, since it uses less digits than its factorization.

72393888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6366 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 72393888 is about 8508.4597901148. The cubic root of 72393888 is about 416.7740150786.

The spelling of 72393888 in words is "seventy-two million, three hundred ninety-three thousand, eight hundred eighty-eight".