7532672 has 48 divisors (see below), whose sum is σ = 17471070. Its totient is φ = 3225600.

The previous prime is 7532669. The next prime is 7532687. The reversal of 7532672 is 2762357.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 3136 = 2744^2 + 56^2 .

It is a super-2 number, since 2×7532672² = 113482294919168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672 + ... + 6872.

Almost surely, 2^7532672 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 7532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735535).

7532672 is an abundant number, since it is smaller than the sum of its proper divisors (9938398).

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

7532672 is a wasteful number, since it uses less digits than its factorization.

7532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 7532672 is about 2744.5713690848. The cubic root of 7532672 is about 196.0272071075.

The spelling of 7532672 in words is "seven million, five hundred thirty-two thousand, six hundred seventy-two".