77326272 has 112 divisors (see below), whose sum is σ = 230814880. Its totient is φ = 25380864.

The previous prime is 77326261. The next prime is 77326273. The reversal of 77326272 is 27262377.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77326273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125838 + ... + 126450.

Almost surely, 2^77326272 is an apocalyptic number.

77326272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115407440).

77326272 is an abundant number, since it is smaller than the sum of its proper divisors (153488608).

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

77326272 is a wasteful number, since it uses less digits than its factorization.

77326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 77326272 is about 8793.5358076260. The cubic root of 77326272 is about 426.0321340569.

The spelling of 77326272 in words is "seventy-seven million, three hundred twenty-six thousand, two hundred seventy-two".