77532532 has 48 divisors (see below), whose sum is σ = 170472960. Its totient is φ = 29973600.

The previous prime is 77532527. The next prime is 77532551. The reversal of 77532532 is 23523577.

It is a super-2 number, since 2×77532532² = 12022587036662048, which contains 22 as substring.

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, 41907 + ... + 43717.

It is an arithmetic number, because the mean of its divisors is an integer number (3551520).

Almost surely, 2^77532532 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 77532532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85236480).

77532532 is an abundant number, since it is smaller than the sum of its proper divisors (92940428).

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

77532532 is a wasteful number, since it uses less digits than its factorization.

77532532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its digits is 44100, while the sum is 34.

The square root of 77532532 is about 8805.2559304088. The cubic root of 77532532 is about 426.4105969439.

The spelling of 77532532 in words is "seventy-seven million, five hundred thirty-two thousand, five hundred thirty-two".