77533272 has 48 divisors (see below), whose sum is σ = 210621840. Its totient is φ = 25766208.

The previous prime is 77533259. The next prime is 77533279. The reversal of 77533272 is 27233577.

It is a super-2 number, since 2×77533272² = 12022816534051968, which contains 22 as substring.

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 (77533279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25413 + ... + 28299.

It is an arithmetic number, because the mean of its divisors is an integer number (4387955).

Almost surely, 2^77533272 is an apocalyptic number.

77533272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

77533272 is an abundant number, since it is smaller than the sum of its proper divisors (133088568).

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

77533272 is a wasteful number, since it uses less digits than its factorization.

77533272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3265 counting only the distinct ones).

The product of its digits is 61740, while the sum is 36.

The square root of 77533272 is about 8805.2979506658. The cubic root of 77533272 is about 426.4119535479.

It can be divided in two parts, 7753 and 3272, that added together give a square (11025 = 105²).

The spelling of 77533272 in words is "seventy-seven million, five hundred thirty-three thousand, two hundred seventy-two".