45352032 has 96 divisors (see below), whose sum is σ = 132015744. Its totient is φ = 13516800.

The previous prime is 45352007. The next prime is 45352037. The reversal of 45352032 is 23025354.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45351993 and 45352011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45352037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70432 + ... + 71072.

It is an arithmetic number, because the mean of its divisors is an integer number (1375164).

Almost surely, 2^45352032 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 45352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66007872).

45352032 is an abundant number, since it is smaller than the sum of its proper divisors (86663712).

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

45352032 is a wasteful number, since it uses less digits than its factorization.

45352032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 45352032 is about 6734.3917319978. The cubic root of 45352032 is about 356.6144335928.

Adding to 45352032 its reverse (23025354), we get a palindrome (68377386).

The spelling of 45352032 in words is "forty-five million, three hundred fifty-two thousand, thirty-two".