72152128 has 56 divisors (see below), whose sum is σ = 151570944. Its totient is φ = 34022400.

The previous prime is 72152123. The next prime is 72152137. The reversal of 72152128 is 82125127.

It is a junction number, because it is equal to n+sod(n) for n = 72152096 and 72152105.

It is not an unprimeable number, because it can be changed into a prime (72152123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80901 + ... + 81787.

It is an arithmetic number, because the mean of its divisors is an integer number (2706624).

Almost surely, 2^72152128 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 72152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785472).

72152128 is an abundant number, since it is smaller than the sum of its proper divisors (79418816).

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

72152128 is a wasteful number, since it uses less digits than its factorization.

72152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 961 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 72152128 is about 8494.2408724971. The cubic root of 72152128 is about 416.3095575606.

The spelling of 72152128 in words is "seventy-two million, one hundred fifty-two thousand, one hundred twenty-eight".