72777376 has 48 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 31080960.

The previous prime is 72777361. The next prime is 72777389. The reversal of 72777376 is 67377727.

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, 127171 + ... + 127741.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^72777376 is an apocalyptic number.

It is an amenable number.

72777376 is an abundant number, since it is smaller than the sum of its proper divisors (91546784).

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

72777376 is a wasteful number, since it uses less digits than its factorization.

72777376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its digits is 605052, while the sum is 46.

The square root of 72777376 is about 8530.9657132121. The cubic root of 72777376 is about 417.5086371574.

It can be divided in two parts, 72777 and 376, that added together give a triangular number (73153 = T₃₈₂).

The spelling of 72777376 in words is "seventy-two million, seven hundred seventy-seven thousand, three hundred seventy-six".