7540512 has 96 divisors (see below), whose sum is σ = 23184000. Its totient is φ = 2145024.

The previous prime is 7540501. The next prime is 7540517. The reversal of 7540512 is 2150457.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32814 + ... + 33042.

It is an arithmetic number, because the mean of its divisors is an integer number (241500).

Almost surely, 2^7540512 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 7540512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592000).

7540512 is an abundant number, since it is smaller than the sum of its proper divisors (15643488).

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

7540512 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 7540512 = (1740255)₁₃.

7540512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 7540512 is about 2745.9992716678. Note that the first 3 decimals coincide. The cubic root of 7540512 is about 196.0951918557.

Adding to 7540512 its reverse (2150457), we get a palindrome (9690969).

The spelling of 7540512 in words is "seven million, five hundred forty thousand, five hundred twelve".