7572642 has 64 divisors (see below), whose sum is σ = 19436544. Its totient is φ = 1909440.

The previous prime is 7572641. The next prime is 7572661. The reversal of 7572642 is 2462757.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7572641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16873 + ... + 17315.

It is an arithmetic number, because the mean of its divisors is an integer number (303696).

Almost surely, 2^7572642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7572642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9718272).

7572642 is an abundant number, since it is smaller than the sum of its proper divisors (11863902).

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

7572642 is a wasteful number, since it uses less digits than its factorization.

7572642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503.

The product of its digits is 23520, while the sum is 33.

The square root of 7572642 is about 2751.8433821713. The cubic root of 7572642 is about 196.3733166836.

The spelling of 7572642 in words is "seven million, five hundred seventy-two thousand, six hundred forty-two".