103572432 has 120 divisors (see below), whose sum is σ = 318479616. Its totient is φ = 32472576.

The previous prime is 103572431. The next prime is 103572451. The reversal of 103572432 is 234275301.

It is a super-3 number, since 3×103572432³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103572396 and 103572405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103572431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65313 + ... + 66879.

Almost surely, 2^103572432 is an apocalyptic number.

103572432 is a gapful number since it is divisible by the number (12) 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 103572432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159239808).

103572432 is an abundant number, since it is smaller than the sum of its proper divisors (214907184).

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

103572432 is a wasteful number, since it uses less digits than its factorization.

103572432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 103572432 is about 10177.0541906782. The cubic root of 103572432 is about 469.6215937142.

The spelling of 103572432 in words is "one hundred three million, five hundred seventy-two thousand, four hundred thirty-two".