7264512 has 72 divisors (see below), whose sum is σ = 21502880. Its totient is φ = 2419200.

The previous prime is 7264511. The next prime is 7264513. The reversal of 7264512 is 2154627.

7264512 is a `hidden beast` number, since 7 + 2 + 645 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (7264511) and next prime (7264513).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (7264511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6387 + ... + 7437.

Almost surely, 2^7264512 is an apocalyptic number.

7264512 is a gapful number since it is divisible by the number (72) 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 7264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10751440).

7264512 is an abundant number, since it is smaller than the sum of its proper divisors (14238368).

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

7264512 is a wasteful number, since it uses less digits than its factorization.

7264512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1056 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 7264512 is about 2695.2758671424. The cubic root of 7264512 is about 193.6728819693.

It can be divided in two parts, 7264 and 512, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7264512 in words is "seven million, two hundred sixty-four thousand, five hundred twelve".