72076828 has 24 divisors (see below), whose sum is σ = 128172240. Its totient is φ = 35460480.

The previous prime is 72076801. The next prime is 72076847. The reversal of 72076828 is 82867027.

It is a super-3 number, since 3×72076828³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103963 + ... + 104653.

It is an arithmetic number, because the mean of its divisors is an integer number (5340510).

Almost surely, 2^72076828 is an apocalyptic number.

It is an amenable number.

72076828 is a deficient number, since it is larger than the sum of its proper divisors (56095412).

72076828 is a wasteful number, since it uses less digits than its factorization.

72076828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 72076828 is about 8489.8073005222. The cubic root of 72076828 is about 416.1646830104.

The spelling of 72076828 in words is "seventy-two million, seventy-six thousand, eight hundred twenty-eight".