10072900 has 36 divisors (see below), whose sum is σ = 21998592. Its totient is φ = 4003360.

The previous prime is 10072897. The next prime is 10072943. The reversal of 10072900 is 927001.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26109 + ... + 26491.

It is an arithmetic number, because the mean of its divisors is an integer number (611072).

Almost surely, 2^10072900 is an apocalyptic number.

10072900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072900 is an abundant number, since it is smaller than the sum of its proper divisors (11925692).

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

10072900 is a wasteful number, since it uses less digits than its factorization.

10072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10072900 is about 3173.7832314133. The cubic root of 10072900 is about 215.9657295881.

Adding to 10072900 its reverse (927001), we get a palindrome (10999901).

It can be divided in two parts, 100 and 72900, that multiplied together give a square (7290000 = 2700²).

The spelling of 10072900 in words is "ten million, seventy-two thousand, nine hundred".