72507168 has 36 divisors (see below), whose sum is σ = 206193078. Its totient is φ = 24168960.

The previous prime is 72507167. The next prime is 72507179. The reversal of 72507168 is 86170527.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 121104 = 8508^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×72507168² = 10514578822760448, which contains 22 as substring.

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 (72507167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125593 + ... + 126168.

Almost surely, 2^72507168 is an apocalyptic number.

It is an amenable number.

72507168 is an abundant number, since it is smaller than the sum of its proper divisors (133685910).

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

72507168 is a wasteful number, since it uses less digits than its factorization.

72507168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251777 (or 251766 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72507168 is about 8515.1140920131. The cubic root of 72507168 is about 416.9912873635.

The spelling of 72507168 in words is "seventy-two million, five hundred seven thousand, one hundred sixty-eight".