185420772 has 96 divisors (see below), whose sum is σ = 511280000. Its totient is φ = 57946752.

The previous prime is 185420771. The next prime is 185420777. The reversal of 185420772 is 277024581.

185420772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (185420771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223254 + ... + 224082.

Almost surely, 2^185420772 is an apocalyptic number.

185420772 is a gapful number since it is divisible by the number (12) 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 185420772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255640000).

185420772 is an abundant number, since it is smaller than the sum of its proper divisors (325859228).

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

185420772 is a wasteful number, since it uses less digits than its factorization.

185420772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 185420772 is about 13616.9296098643. The cubic root of 185420772 is about 570.2335884719.

The spelling of 185420772 in words is "one hundred eighty-five million, four hundred twenty thousand, seven hundred seventy-two".