30429972 has 96 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 9590400.

The previous prime is 30429923. The next prime is 30430013. The reversal of 30429972 is 27992403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204154 + ... + 204302.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 2^30429972 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 30429972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

30429972 is an abundant number, since it is smaller than the sum of its proper divisors (52898028).

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

30429972 is a wasteful number, since it uses less digits than its factorization.

30429972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30429972 is about 5516.3368280046. The cubic root of 30429972 is about 312.2006844976.

It can be divided in two parts, 304 and 29972, that added together give a square (30276 = 174²).

The spelling of 30429972 in words is "thirty million, four hundred twenty-nine thousand, nine hundred seventy-two".