72302152 has 32 divisors (see below), whose sum is σ = 146777400. Its totient is φ = 33191424.

The previous prime is 72302093. The next prime is 72302159. The reversal of 72302152 is 25120327.

It can be written as a sum of positive squares in 4 ways, for example, as 55442916 + 16859236 = 7446^2 + 4106^2 .

It is a super-2 number, since 2×72302152² = 10455202367662208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72302159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18724 + ... + 22252.

Almost surely, 2^72302152 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 72302152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73388700).

72302152 is an abundant number, since it is smaller than the sum of its proper divisors (74475248).

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

72302152 is a wasteful number, since it uses less digits than its factorization.

72302152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72302152 is about 8503.0672113068. The cubic root of 72302152 is about 416.5978982686.

Adding to 72302152 its reverse (25120327), we get a palindrome (97422479).

The spelling of 72302152 in words is "seventy-two million, three hundred two thousand, one hundred fifty-two".