78552 has 24 divisors (see below), whose sum is σ = 212940. Its totient is φ = 26160.

The previous prime is 78541. The next prime is 78553. The reversal of 78552 is 25587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78553) 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, 474 + ... + 617.

2⁷⁸⁵⁵² is an apocalyptic number.

78552 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

78552 is an abundant number, since it is smaller than the sum of its proper divisors (134388).

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

78552 is a wasteful number, since it uses less digits than its factorization.

78552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1096 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 78552 is about 280.2712971390. The cubic root of 78552 is about 42.8271409069.

It can be divided in two parts, 78 and 552, that added together give a triangular number (630 = T₃₅).

The spelling of 78552 in words is "seventy-eight thousand, five hundred fifty-two".