30726432 has 192 divisors, whose sum is σ = 101243520. Its totient is φ = 8985600.

The previous prime is 30726431. The next prime is 30726461. The reversal of 30726432 is 23462703.

It is a super-2 number, since 2×30726432² = 1888227246901248, which contains 22 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 = 30726396 and 30726405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30726431) 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, 503682 + ... + 503742.

It is an arithmetic number, because the mean of its divisors is an integer number (527310).

Almost surely, 2^30726432 is an apocalyptic number.

30726432 is a gapful number since it is divisible by the number (32) 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 30726432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

30726432 is an abundant number, since it is smaller than the sum of its proper divisors (70517088).

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

30726432 is a wasteful number, since it uses less digits than its factorization.

30726432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 30726432 is about 5543.1427908723. The cubic root of 30726432 is about 313.2112677792.

The spelling of 30726432 in words is "thirty million, seven hundred twenty-six thousand, four hundred thirty-two".