185138072 has 48 divisors (see below), whose sum is σ = 405741960. Its totient is φ = 78965376.

The previous prime is 185138069. The next prime is 185138077. The reversal of 185138072 is 270831581.

185138072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×185138072² = 68552211407754368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185138077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90323 + ... + 92349.

Almost surely, 2^185138072 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 185138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202870980).

185138072 is an abundant number, since it is smaller than the sum of its proper divisors (220603888).

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

185138072 is a wasteful number, since it uses less digits than its factorization.

185138072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 185138072 is about 13606.5451897240. The cubic root of 185138072 is about 569.9436406777.

The spelling of 185138072 in words is "one hundred eighty-five million, one hundred thirty-eight thousand, seventy-two".