76033728 has 84 divisors (see below), whose sum is σ = 226054920. Its totient is φ = 25339392.

The previous prime is 76033723. The next prime is 76033753. The reversal of 76033728 is 82733067.

It is a super-2 number, since 2×76033728² = 11562255587155968, which contains 22 as substring.

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 = 76033692 and 76033701.

It is not an unprimeable number, because it can be changed into a prime (76033723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13108 + ... + 17996.

It is an arithmetic number, because the mean of its divisors is an integer number (2691130).

Almost surely, 2^76033728 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 76033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113027460).

76033728 is an abundant number, since it is smaller than the sum of its proper divisors (150021192).

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

76033728 is an equidigital number, since it uses as much as digits as its factorization.

76033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 76033728 is about 8719.7321059767. The cubic root of 76033728 is about 423.6450096224.

The spelling of 76033728 in words is "seventy-six million, thirty-three thousand, seven hundred twenty-eight".