77632272 has 30 divisors (see below), whose sum is σ = 217262942. Its totient is φ = 25877376.

The previous prime is 77632249. The next prime is 77632279. The reversal of 77632272 is 27223677.

It can be written as a sum of positive squares in only one way, i.e., 75272976 + 2359296 = 8676^2 + 1536^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (77632279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269413 + ... + 269700.

Almost surely, 2^77632272 is an apocalyptic number.

77632272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77632272 is an abundant number, since it is smaller than the sum of its proper divisors (139630670).

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

77632272 is a wasteful number, since it uses less digits than its factorization.

77632272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539127 (or 539118 counting only the distinct ones).

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

The square root of 77632272 is about 8810.9177728543. The cubic root of 77632272 is about 426.5933673996.

The spelling of 77632272 in words is "seventy-seven million, six hundred thirty-two thousand, two hundred seventy-two".