62952 has 32 divisors (see below), whose sum is σ = 163680. Its totient is φ = 20160.

The previous prime is 62939. The next prime is 62969. The reversal of 62952 is 25926.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (5115).

2⁶²⁹⁵² 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 62952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

62952 is an abundant number, since it is smaller than the sum of its proper divisors (100728).

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

62952 is a wasteful number, since it uses less digits than its factorization.

62952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 62952 is about 250.9023714515. The cubic root of 62952 is about 39.7804639693.

The spelling of 62952 in words is "sixty-two thousand, nine hundred fifty-two".