7529472 has 132 divisors (see below), whose sum is σ = 23417680. Its totient is φ = 2322432.

The previous prime is 7529471. The next prime is 7529519. The reversal of 7529472 is 2749257.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁶ + 5⁹ + 2¹⁵ + 9⁷ + 4⁵ + 7⁶ + 2¹⁹ .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7529471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175083 + ... + 175125.

Almost surely, 2^7529472 is an apocalyptic number.

7529472 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 7529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708840).

7529472 is an abundant number, since it is smaller than the sum of its proper divisors (15888208).

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

7529472 is a wasteful number, since it uses less digits than its factorization.

7529472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 7529472 is about 2743.9883381676. The cubic root of 7529472 is about 195.9994446743. Note that the first 3 decimals are identical.

It can be divided in two parts, 7529 and 472, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7529472 in words is "seven million, five hundred twenty-nine thousand, four hundred seventy-two".