72828465 has 16 divisors (see below), whose sum is σ = 121592448. Its totient is φ = 37152896.

The previous prime is 72828451. The next prime is 72828487. The reversal of 72828465 is 56482827.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72828465 - 2⁸ = 72828209 is a prime.

It is a super-3 number, since 3×72828465³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105204 + ... + 105893.

It is an arithmetic number, because the mean of its divisors is an integer number (7599528).

Almost surely, 2^72828465 is an apocalyptic number.

It is an amenable number.

72828465 is a deficient number, since it is larger than the sum of its proper divisors (48763983).

72828465 is a wasteful number, since it uses less digits than its factorization.

72828465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211128.

The product of its digits is 215040, while the sum is 42.

The square root of 72828465 is about 8533.9595147856. The cubic root of 72828465 is about 417.6063099541.

The spelling of 72828465 in words is "seventy-two million, eight hundred twenty-eight thousand, four hundred sixty-five".