78073128 has 192 divisors, whose sum is σ = 263577600. Its totient is φ = 20373120.

The previous prime is 78073111. The next prime is 78073139. The reversal of 78073128 is 82137087.

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 = 78073092 and 78073101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296725 + ... + 296987.

It is an arithmetic number, because the mean of its divisors is an integer number (1372800).

Almost surely, 2^78073128 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 78073128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131788800).

78073128 is an abundant number, since it is smaller than the sum of its proper divisors (185504472).

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

78073128 is a wasteful number, since it uses less digits than its factorization.

78073128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 78073128 is about 8835.8999541643. The cubic root of 78073128 is about 427.3993525245.

The spelling of 78073128 in words is "seventy-eight million, seventy-three thousand, one hundred twenty-eight".