72796428 has 36 divisors (see below), whose sum is σ = 188961640. Its totient is φ = 24235920.

The previous prime is 72796421. The next prime is 72796439. The reversal of 72796428 is 82469727.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (72796421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88258 + ... + 89078.

Almost surely, 2^72796428 is an apocalyptic number.

It is an amenable number.

72796428 is an abundant number, since it is smaller than the sum of its proper divisors (116165212).

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

72796428 is an equidigital number, since it uses as much as digits as its factorization.

72796428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 826 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72796428 is about 8532.0822780843. The cubic root of 72796428 is about 417.5450664297.

Multiplying 72796428 by its product of digits (338688), we get a square (24655276606464 = 4965408²).

The spelling of 72796428 in words is "seventy-two million, seven hundred ninety-six thousand, four hundred twenty-eight".