152772084 has 72 divisors (see below), whose sum is σ = 409500000. Its totient is φ = 47888064.

The previous prime is 152772073. The next prime is 152772089. The reversal of 152772084 is 480277251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152772089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101167 + ... + 102665.

It is an arithmetic number, because the mean of its divisors is an integer number (5687500).

Almost surely, 2^152772084 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 152772084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204750000).

152772084 is an abundant number, since it is smaller than the sum of its proper divisors (256727916).

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

152772084 is a wasteful number, since it uses less digits than its factorization.

152772084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

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

The square root of 152772084 is about 12360.1004850284. The cubic root of 152772084 is about 534.5824138304.

The spelling of 152772084 in words is "one hundred fifty-two million, seven hundred seventy-two thousand, eighty-four".