72660128 has 48 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 34526976.

The previous prime is 72660121. The next prime is 72660149. The reversal of 72660128 is 82106627.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 72660094 and 72660103.

It is not an unprimeable number, because it can be changed into a prime (72660121) 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, 197801 + ... + 198167.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2^72660128 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 72660128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75116160).

72660128 is an abundant number, since it is smaller than the sum of its proper divisors (77572192).

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

72660128 is a wasteful number, since it uses less digits than its factorization.

72660128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 72660128 is about 8524.0910365857. The cubic root of 72660128 is about 417.2843075328.

The spelling of 72660128 in words is "seventy-two million, six hundred sixty thousand, one hundred twenty-eight".