72778176 has 140 divisors (see below), whose sum is σ = 219440760. Its totient is φ = 23846400.

The previous prime is 72778171. The next prime is 72778213. The reversal of 72778176 is 67187727.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72778171) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 523515 + ... + 523653.

It is an arithmetic number, because the mean of its divisors is an integer number (1567434).

Almost surely, 2^72778176 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 72778176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109720380).

72778176 is an abundant number, since it is smaller than the sum of its proper divisors (146662584).

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

72778176 is a wasteful number, since it uses less digits than its factorization.

72778176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 245 counting only the distinct ones).

The product of its digits is 230496, while the sum is 45.

The square root of 72778176 is about 8531.0126010926. The cubic root of 72778176 is about 417.5101669629.

The spelling of 72778176 in words is "seventy-two million, seven hundred seventy-eight thousand, one hundred seventy-six".