72628028784 has 80 divisors (see below), whose sum is σ = 208564746240. Its totient is φ = 24198264000.

The previous prime is 72628028777. The next prime is 72628028797. The reversal of 72628028784 is 48782082627.

72628028784 is a `hidden beast` number, since 7 + 2 + 6 + 280 + 287 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72628028784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935089 + ... + 1009775.

It is an arithmetic number, because the mean of its divisors is an integer number (2607059328).

Almost surely, 2^72628028784 is an apocalyptic number.

It is an amenable number.

72628028784 is an abundant number, since it is smaller than the sum of its proper divisors (135936717456).

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

72628028784 is a wasteful number, since it uses less digits than its factorization.

72628028784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76955 (or 76943 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 72628028784 in words is "seventy-two billion, six hundred twenty-eight million, twenty-eight thousand, seven hundred eighty-four".