198540072 has 40 divisors (see below), whose sum is σ = 556097850. Its totient is φ = 66179808.

The previous prime is 198540049. The next prime is 198540077. The reversal of 198540072 is 270045891.

It can be written as a sum of positive squares in only one way, i.e., 148498596 + 50041476 = 12186^2 + 7074^2 .

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

It is not an unprimeable number, because it can be changed into a prime (198540077) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 152547 + ... + 153842.

Almost surely, 2^198540072 is an apocalyptic number.

198540072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198540072 is an abundant number, since it is smaller than the sum of its proper divisors (357557778).

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

198540072 is a wasteful number, since it uses less digits than its factorization.

198540072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306407 (or 306394 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 198540072 is about 14090.4248339076. The cubic root of 198540072 is about 583.3771193981.

The spelling of 198540072 in words is "one hundred ninety-eight million, five hundred forty thousand, seventy-two".