72095136 has 48 divisors (see below), whose sum is σ = 189693504. Its totient is φ = 23975424.

The previous prime is 72095123. The next prime is 72095137. The reversal of 72095136 is 63159027.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 72095097 and 72095106.

It is not an unprimeable number, because it can be changed into a prime (72095137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69276 + ... + 70308.

It is an arithmetic number, because the mean of its divisors is an integer number (3951948).

Almost surely, 2^72095136 is an apocalyptic number.

It is an amenable number.

72095136 is an abundant number, since it is smaller than the sum of its proper divisors (117598368).

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

72095136 is a wasteful number, since it uses less digits than its factorization.

72095136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 72095136 is about 8490.8854661926. The cubic root of 72095136 is about 416.1999162387.

The spelling of 72095136 in words is "seventy-two million, ninety-five thousand, one hundred thirty-six".