30752124 has 48 divisors (see below), whose sum is σ = 79779840. Its totient is φ = 9155520.

The previous prime is 30752123. The next prime is 30752131. The reversal of 30752124 is 42125703.

It is a super-2 number, since 2×30752124² = 1891386261022752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30752094 and 30752103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30752123) 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, 1657 + ... + 8015.

It is an arithmetic number, because the mean of its divisors is an integer number (1662080).

Almost surely, 2^30752124 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 30752124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889920).

30752124 is an abundant number, since it is smaller than the sum of its proper divisors (49027716).

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

30752124 is a wasteful number, since it uses less digits than its factorization.

30752124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 30752124 is about 5545.4597645281. The cubic root of 30752124 is about 313.2985409786.

Adding to 30752124 its reverse (42125703), we get a palindrome (72877827).

It can be divided in two parts, 30752 and 124, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 30752124 in words is "thirty million, seven hundred fifty-two thousand, one hundred twenty-four".