10072458 has 64 divisors (see below), whose sum is σ = 25251840. Its totient is φ = 2948400.

The previous prime is 10072453. The next prime is 10072487. The reversal of 10072458 is 85427001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10072453) 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, 18141 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (394560).

Almost surely, 2^10072458 is an apocalyptic number.

10072458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625920).

10072458 is an abundant number, since it is smaller than the sum of its proper divisors (15179382).

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

10072458 is a wasteful number, since it uses less digits than its factorization.

10072458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10072458 is about 3173.7135976644. The cubic root of 10072458 is about 215.9625706750.

Adding to 10072458 its reverse (85427001), we get a palindrome (95499459).

The spelling of 10072458 in words is "ten million, seventy-two thousand, four hundred fifty-eight".