72776312 has 64 divisors (see below), whose sum is σ = 165412800. Its totient is φ = 29352960.

The previous prime is 72776293. The next prime is 72776329. The reversal of 72776312 is 21367727.

Its product of digits (24696) is a multiple of the sum of its prime factors (1176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66038 + ... + 67130.

It is an arithmetic number, because the mean of its divisors is an integer number (2584575).

Almost surely, 2^72776312 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 72776312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82706400).

72776312 is an abundant number, since it is smaller than the sum of its proper divisors (92636488).

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

72776312 is a wasteful number, since it uses less digits than its factorization.

72776312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its digits is 24696, while the sum is 35.

The square root of 72776312 is about 8530.9033519317. The cubic root of 72776312 is about 417.5066024988.

The spelling of 72776312 in words is "seventy-two million, seven hundred seventy-six thousand, three hundred twelve".