62428072 has 64 divisors (see below), whose sum is σ = 146995200. Its totient is φ = 24235200.

The previous prime is 62428057. The next prime is 62428087. The reversal of 62428072 is 27082426.

62428072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62428057) and next prime (62428087).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23197 + ... + 25747.

It is an arithmetic number, because the mean of its divisors is an integer number (2296800).

Almost surely, 2^62428072 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 62428072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497600).

62428072 is an abundant number, since it is smaller than the sum of its proper divisors (84567128).

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

62428072 is a wasteful number, since it uses less digits than its factorization.

62428072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 62428072 is about 7901.1437146783. The cubic root of 62428072 is about 396.6979664432.

The spelling of 62428072 in words is "sixty-two million, four hundred twenty-eight thousand, seventy-two".