72788352 has 128 divisors (see below), whose sum is σ = 238076160. Its totient is φ = 19187712.

The previous prime is 72788351. The next prime is 72788363. The reversal of 72788352 is 25388727.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72788351) 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, 33903 + ... + 35985.

It is an arithmetic number, because the mean of its divisors is an integer number (1859970).

Almost surely, 2^72788352 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 72788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119038080).

72788352 is an abundant number, since it is smaller than the sum of its proper divisors (165287808).

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

72788352 is a wasteful number, since it uses less digits than its factorization.

72788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2108 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 72788352 is about 8531.6089924469. The cubic root of 72788352 is about 417.5296251104.

The spelling of 72788352 in words is "seventy-two million, seven hundred eighty-eight thousand, three hundred fifty-two".