7268100 has 72 divisors (see below), whose sum is σ = 24040128. Its totient is φ = 1660800.

The previous prime is 7268087. The next prime is 7268101. The reversal of 7268100 is 18627.

7268100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7268100² = 105650555220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7268101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370 + ... + 3830.

Almost surely, 2^7268100 is an apocalyptic number.

7268100 is a gapful number since it is divisible by the number (70) 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 7268100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020064).

7268100 is an abundant number, since it is smaller than the sum of its proper divisors (16772028).

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

7268100 is a wasteful number, since it uses less digits than its factorization.

7268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 7268100 is about 2695.9413940218. The cubic root of 7268100 is about 193.7047622446.

The spelling of 7268100 in words is "seven million, two hundred sixty-eight thousand, one hundred".