72977856 has 84 divisors (see below), whose sum is σ = 224640648. Its totient is φ = 20848128.

The previous prime is 72977843. The next prime is 72977857. The reversal of 72977856 is 65877927.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 72977799 and 72977808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72977857) 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, 5530 + ... + 13286.

Almost surely, 2^72977856 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 72977856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112320324).

72977856 is an abundant number, since it is smaller than the sum of its proper divisors (151662792).

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

72977856 is a wasteful number, since it uses less digits than its factorization.

72977856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7769 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 72977856 is about 8542.7077674470. The cubic root of 72977856 is about 417.8916563292.

The spelling of 72977856 in words is "seventy-two million, nine hundred seventy-seven thousand, eight hundred fifty-six".