72803556 has 192 divisors, whose sum is σ = 232243200. Its totient is φ = 19274112.

The previous prime is 72803551. The next prime is 72803587. The reversal of 72803556 is 65530827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72803556.

It is not an unprimeable number, because it can be changed into a prime (72803551) 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 63 ways as a sum of consecutive naturals, for example, 921525 + ... + 921603.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^72803556 is an apocalyptic number.

It is a pronic number, being equal to 8532×8533.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72803556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

72803556 is an abundant number, since it is smaller than the sum of its proper divisors (159439644).

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

72803556 is a wasteful number, since it uses less digits than its factorization.

72803556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72803556 is about 8532.4999853501. The cubic root of 72803556 is about 417.5586942234.

The spelling of 72803556 in words is "seventy-two million, eight hundred three thousand, five hundred fifty-six".