76363728 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 19783680.

The previous prime is 76363723. The next prime is 76363733. The reversal of 76363728 is 82736367.

It is an interprime number because it is at equal distance from previous prime (76363723) and next prime (76363733).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 76363728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76363723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165418 + ... + 165878.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^76363728 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 76363728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

76363728 is an abundant number, since it is smaller than the sum of its proper divisors (171120432).

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

76363728 is a wasteful number, since it uses less digits than its factorization.

76363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 76363728 is about 8738.6342182288. The cubic root of 76363728 is about 424.2570234687.

The spelling of 76363728 in words is "seventy-six million, three hundred sixty-three thousand, seven hundred twenty-eight".