30972900 has 180 divisors, whose sum is σ = 106975792. Its totient is φ = 6914880.

The previous prime is 30972889. The next prime is 30972911. The reversal of 30972900 is 927903.

It is an interprime number because it is at equal distance from previous prime (30972889) and next prime (30972911).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 720279 + ... + 720321.

Almost surely, 2^30972900 is an apocalyptic number.

30972900 is a gapful number since it is divisible by the number (30) 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 30972900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53487896).

30972900 is an abundant number, since it is smaller than the sum of its proper divisors (76002892).

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

30972900 is a wasteful number, since it uses less digits than its factorization.

30972900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 30972900 is about 5565.3301788843. The cubic root of 30972900 is about 314.0464993952.

The spelling of 30972900 in words is "thirty million, nine hundred seventy-two thousand, nine hundred".