7342632 has 96 divisors (see below), whose sum is σ = 22164480. Its totient is φ = 2177280.

The previous prime is 7342603. The next prime is 7342633. The reversal of 7342632 is 2362437.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (6048) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 7342596 and 7342605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7342633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57753 + ... + 57879.

It is an arithmetic number, because the mean of its divisors is an integer number (230880).

Almost surely, 2^7342632 is an apocalyptic number.

7342632 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 7342632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082240).

7342632 is an abundant number, since it is smaller than the sum of its proper divisors (14821848).

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

7342632 is a wasteful number, since it uses less digits than its factorization.

7342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 216 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 7342632 is about 2709.7291377553. The cubic root of 7342632 is about 194.3646381852.

It can be divided in two parts, 73 and 42632, that multiplied together give a cube (3112136 = 146³).

The spelling of 7342632 in words is "seven million, three hundred forty-two thousand, six hundred thirty-two".