77532 has 48 divisors (see below), whose sum is σ = 225792. Its totient is φ = 20160.

The previous prime is 77527. The next prime is 77543. The reversal of 77532 is 23577.

It is a super-2 number, since 2×77532² = 12022422048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

Its product of digits (1470) is a multiple of the sum of its prime factors (98).

It is a nialpdrome in base 10.

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, 1057 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁷⁷⁵³² 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 77532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112896).

77532 is an abundant number, since it is smaller than the sum of its proper divisors (148260).

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

77532 is a wasteful number, since it uses less digits than its factorization.

77532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 1470, while the sum is 24.

The square root of 77532 is about 278.4456859066. The cubic root of 77532 is about 42.6409621650.

The spelling of 77532 in words is "seventy-seven thousand, five hundred thirty-two".