62972252 has 72 divisors (see below), whose sum is σ = 136553760. Its totient is φ = 25280640.

The previous prime is 62972249. The next prime is 62972257. The reversal of 62972252 is 25227926.

62972252 = 68³ + 69³ + ... + 128³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62972257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274874 + ... + 275102.

It is an arithmetic number, because the mean of its divisors is an integer number (1896580).

Almost surely, 2^62972252 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 62972252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68276880).

62972252 is an abundant number, since it is smaller than the sum of its proper divisors (73581508).

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

62972252 is a wasteful number, since it uses less digits than its factorization.

62972252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 62972252 is about 7935.5057809821. The cubic root of 62972252 is about 397.8472937561.

The spelling of 62972252 in words is "sixty-two million, nine hundred seventy-two thousand, two hundred fifty-two".