30513672 has 180 divisors, whose sum is σ = 102730815. Its totient is φ = 8436960.

The previous prime is 30513667. The next prime is 30513719. The reversal of 30513672 is 27631503.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 15256836 + 15256836 = 3906^2 + 3906^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3906.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 984297 + ... + 984327.

Almost surely, 2^30513672 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 30513672

30513672 is an abundant number, since it is smaller than the sum of its proper divisors (72217143).

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

30513672 is a wasteful number, since it uses less digits than its factorization.

30513672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 30513672 is about 5523.9181746293. The cubic root of 30513672 is about 312.4866665244.

The spelling of 30513672 in words is "thirty million, five hundred thirteen thousand, six hundred seventy-two".