8072700 has 72 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 2116800.

The previous prime is 8072693. The next prime is 8072707. The reversal of 8072700 is 72708.

It is an interprime number because it is at equal distance from previous prime (8072693) and next prime (8072707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072707) 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, 21111 + ... + 21489.

It is an arithmetic number, because the mean of its divisors is an integer number (329840).

Almost surely, 2^8072700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

8072700 is an abundant number, since it is smaller than the sum of its proper divisors (15675780).

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

8072700 is a wasteful number, since it uses less digits than its factorization.

8072700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 8072700 is about 2841.2497250330. The cubic root of 8072700 is about 200.6040073725.

The spelling of 8072700 in words is "eight million, seventy-two thousand, seven hundred".