62001072 has 240 divisors, whose sum is σ = 216280800. Its totient is φ = 16934400.

The previous prime is 62001059. The next prime is 62001073. The reversal of 62001072 is 27010026.

It is a happy number.

62001072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (62001073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613822 + ... + 613922.

It is an arithmetic number, because the mean of its divisors is an integer number (901170).

Almost surely, 2^62001072 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 62001072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

62001072 is an abundant number, since it is smaller than the sum of its proper divisors (154279728).

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

62001072 is a wasteful number, since it uses less digits than its factorization.

62001072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 62001072 is about 7874.0759457856. The cubic root of 62001072 is about 395.7914420623.

Adding to 62001072 its reverse (27010026), we get a palindrome (89011098).

The spelling of 62001072 in words is "sixty-two million, one thousand, seventy-two".