62972 has 24 divisors (see below), whose sum is σ = 136416. Its totient is φ = 24768.

The previous prime is 62971. The next prime is 62981. The reversal of 62972 is 27926.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (5684).

2⁶²⁹⁷² 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 62972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208).

62972 is an abundant number, since it is smaller than the sum of its proper divisors (73444).

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

62972 is a wasteful number, since it uses less digits than its factorization.

62972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 62972 is about 250.9422244263. The cubic root of 62972 is about 39.7846763059.

The spelling of 62972 in words is "sixty-two thousand, nine hundred seventy-two".