62972520 has 128 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 15068160.

The previous prime is 62972491. The next prime is 62972521. The reversal of 62972520 is 2527926.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (62972521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57175 + ... + 58265.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^62972520 is an apocalyptic number.

62972520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62972520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104569920).

62972520 is an abundant number, since it is smaller than the sum of its proper divisors (146167320).

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

62972520 is a wasteful number, since it uses less digits than its factorization.

62972520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 62972520 is about 7935.5226670964. The cubic root of 62972520 is about 397.8478581472.

The spelling of 62972520 in words is "sixty-two million, nine hundred seventy-two thousand, five hundred twenty".