72577152 has 72 divisors (see below), whose sum is σ = 209683695. Its totient is φ = 24096000.

The previous prime is 72577117. The next prime is 72577157. The reversal of 72577152 is 25177527.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72577152 is a `hidden beast` number, since 72 + 577 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36288576 + 36288576 = 6024^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6024.

It is a super-2 number, since 2×72577152² = 10534885984862208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (72577157) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 289027 + ... + 289277.

Almost surely, 2^72577152 is an apocalyptic number.

72577152 is a gapful number since it is divisible by the number (72) 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 72577152

72577152 is an abundant number, since it is smaller than the sum of its proper divisors (137106543).

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

72577152 is an equidigital number, since it uses as much as digits as its factorization.

72577152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 256 counting only the distinct ones).

The product of its digits is 34300, while the sum is 36.

The square root of 72577152 is about 8519.2224997355. Note that the first 3 decimals coincide. The cubic root of 72577152 is about 417.1254043757.

It can be divided in two parts, 725 and 77152, that added together give a palindrome (77877).

The spelling of 72577152 in words is "seventy-two million, five hundred seventy-seven thousand, one hundred fifty-two".