73065672 has 32 divisors (see below), whose sum is σ = 202960800. Its totient is φ = 24355152.

The previous prime is 73065637. The next prime is 73065701. The reversal of 73065672 is 27656037.

It is a happy number.

It is a super-3 number, since 3×73065672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168918 + ... + 169349.

It is an arithmetic number, because the mean of its divisors is an integer number (6342525).

Almost surely, 2^73065672 is an apocalyptic number.

73065672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73065672 is an abundant number, since it is smaller than the sum of its proper divisors (129895128).

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

73065672 is a wasteful number, since it uses less digits than its factorization.

73065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338282 (or 338272 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 73065672 is about 8547.8460444723. The cubic root of 73065672 is about 418.0592088163.

It can be divided in two parts, 73065 and 672, that added together give a palindrome (73737).

The spelling of 73065672 in words is "seventy-three million, sixty-five thousand, six hundred seventy-two".