72152010 has 72 divisors (see below), whose sum is σ = 218236356. Its totient is φ = 16490880.

The previous prime is 72151999. The next prime is 72152011. The reversal of 72152010 is 1025127.

It can be written as a sum of positive squares in 2 ways, for example, as 70913241 + 1238769 = 8421^2 + 1113^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72152011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3771 + ... + 12590.

Almost surely, 2^72152010 is an apocalyptic number.

72152010 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72152010 is an abundant number, since it is smaller than the sum of its proper divisors (146084346).

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

72152010 is a wasteful number, since it uses less digits than its factorization.

72152010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16388 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 72152010 is about 8494.2339266116. The cubic root of 72152010 is about 416.3093306116.

Adding to 72152010 its reverse (1025127), we get a palindrome (73177137).

The spelling of 72152010 in words is "seventy-two million, one hundred fifty-two thousand, ten".