7138432 has 64 divisors (see below), whose sum is σ = 16842240. Its totient is φ = 2949120.

The previous prime is 7138409. The next prime is 7138489. The reversal of 7138432 is 2348317.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7138432² = 101914422837248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7138432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27648 + ... + 27904.

It is an arithmetic number, because the mean of its divisors is an integer number (263160).

Almost surely, 2^7138432 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 7138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421120).

7138432 is an abundant number, since it is smaller than the sum of its proper divisors (9703808).

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

7138432 is a wasteful number, since it uses less digits than its factorization.

7138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 7138432 is about 2671.7844224413. The cubic root of 7138432 is about 192.5459001132.

It can be divided in two parts, 71 and 38432, that added together give a triangular number (38503 = T₂₇₇).

The spelling of 7138432 in words is "seven million, one hundred thirty-eight thousand, four hundred thirty-two".