72513801 has 6 divisors (see below), whose sum is σ = 104742170. Its totient is φ = 48342528.

The previous prime is 72513799. The next prime is 72513817. The reversal of 72513801 is 10831527.

72513801 is a `hidden beast` number, since 72 + 513 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 1550025 = 8424^2 + 1245^2 .

It is not a de Polignac number, because 72513801 - 2¹ = 72513799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72513401) 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, 4028536 + ... + 4028553.

Almost surely, 2^72513801 is an apocalyptic number.

It is an amenable number.

72513801 is a deficient number, since it is larger than the sum of its proper divisors (32228369).

72513801 is a wasteful number, since it uses less digits than its factorization.

72513801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057095 (or 8057092 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72513801 is about 8515.5035670241. The cubic root of 72513801 is about 417.0040025149.

The spelling of 72513801 in words is "seventy-two million, five hundred thirteen thousand, eight hundred one".