10072300 has 36 divisors (see below), whose sum is σ = 24981040. Its totient is φ = 3453120.

The previous prime is 10072297. The next prime is 10072301. The reversal of 10072300 is 327001.

10072300 = T₂₄₈ + T₂₄₉ + ... + T₄₂₂.

10072300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6495 + ... + 7894.

Almost surely, 2^10072300 is an apocalyptic number.

10072300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072300 is an abundant number, since it is smaller than the sum of its proper divisors (14908740).

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

10072300 is a wasteful number, since it uses less digits than its factorization.

10072300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14410 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10072300 is about 3173.6887055916. The cubic root of 10072300 is about 215.9614414483.

Adding to 10072300 its reverse (327001), we get a palindrome (10399301).

The spelling of 10072300 in words is "ten million, seventy-two thousand, three hundred".