72088128 has 168 divisors, whose sum is σ = 248838720. Its totient is φ = 19491840.

The previous prime is 72088123. The next prime is 72088183. The reversal of 72088128 is 82188027.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72088092 and 72088101.

It is not an unprimeable number, because it can be changed into a prime (72088123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76138 + ... + 77078.

Almost surely, 2^72088128 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 72088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124419360).

72088128 is an abundant number, since it is smaller than the sum of its proper divisors (176750592).

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

72088128 is a wasteful number, since it uses less digits than its factorization.

72088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 72088128 is about 8490.4727783557. The cubic root of 72088128 is about 416.1864302456.

The spelling of 72088128 in words is "seventy-two million, eighty-eight thousand, one hundred twenty-eight".