10072524 has 72 divisors (see below), whose sum is σ = 29553664. Its totient is φ = 2613600.

The previous prime is 10072519. The next prime is 10072537. The reversal of 10072524 is 42527001.

10072524 is digitally balanced in base 2 and base 4, because in such bases 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10072524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9669 + ... + 10659.

Almost surely, 2^10072524 is an apocalyptic number.

10072524 is a gapful number since it is divisible by the number (14) 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 10072524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14776832).

10072524 is an abundant number, since it is smaller than the sum of its proper divisors (19481140).

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

10072524 is a wasteful number, since it uses less digits than its factorization.

10072524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10072524 is about 3173.7239955611. The cubic root of 10072524 is about 215.9630423738.

Adding to 10072524 its reverse (42527001), we get a palindrome (52599525).

The spelling of 10072524 in words is "ten million, seventy-two thousand, five hundred twenty-four".