72763776 has 96 divisors (see below), whose sum is σ = 212186520. Its totient is φ = 23930880.

The previous prime is 72763759. The next prime is 72763777. The reversal of 72763776 is 67736727.

72763776 is a `hidden beast` number, since 7 + 2 + 7 + 637 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72763777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95236 + ... + 95996.

Almost surely, 2^72763776 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 72763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106093260).

72763776 is an abundant number, since it is smaller than the sum of its proper divisors (139422744).

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

72763776 is a wasteful number, since it uses less digits than its factorization.

72763776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 849 counting only the distinct ones).

The product of its digits is 518616, while the sum is 45.

The square root of 72763776 is about 8530.1685798113. The cubic root of 72763776 is about 417.4826287488.

The spelling of 72763776 in words is "seventy-two million, seven hundred sixty-three thousand, seven hundred seventy-six".