7536672 has 192 divisors, whose sum is σ = 26248320. Its totient is φ = 2073600.

The previous prime is 7536667. The next prime is 7536677. The reversal of 7536672 is 2766357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7536667) and next prime (7536677).

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

Its product of digits (52920) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7536677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123522 + ... + 123582.

It is an arithmetic number, because the mean of its divisors is an integer number (136710).

Almost surely, 2^7536672 is an apocalyptic number.

7536672 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 7536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

7536672 is an abundant number, since it is smaller than the sum of its proper divisors (18711648).

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

7536672 is a wasteful number, since it uses less digits than its factorization.

7536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 7536672 is about 2745.2999836083. The cubic root of 7536672 is about 196.0618990945.

The spelling of 7536672 in words is "seven million, five hundred thirty-six thousand, six hundred seventy-two".