7529964 has 72 divisors (see below), whose sum is σ = 19676160. Its totient is φ = 2238912.

The previous prime is 7529959. The next prime is 7529971. The reversal of 7529964 is 4699257.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 7⁸ + 5⁷ + 2⁷ + 9³ + 9⁴ + 6⁸ + 4 .

Its product of digits (136080) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95277 + ... + 95355.

It is an arithmetic number, because the mean of its divisors is an integer number (273280).

Almost surely, 2^7529964 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 7529964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9838080).

7529964 is an abundant number, since it is smaller than the sum of its proper divisors (12146196).

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

7529964 is a wasteful number, since it uses less digits than its factorization.

7529964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 7529964 is about 2744.0779872300. The cubic root of 7529964 is about 196.0037136600.

The spelling of 7529964 in words is "seven million, five hundred twenty-nine thousand, nine hundred sixty-four".