72117672 has 64 divisors (see below), whose sum is σ = 208267200. Its totient is φ = 20567040.

The previous prime is 72117659. The next prime is 72117691. The reversal of 72117672 is 27671127.

It is a happy number.

It is a super-2 number, since 2×72117672² = 10401917229399168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3547 + ... + 12522.

It is an arithmetic number, because the mean of its divisors is an integer number (3254175).

Almost surely, 2^72117672 is an apocalyptic number.

It is an amenable number.

72117672 is an abundant number, since it is smaller than the sum of its proper divisors (136149528).

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

72117672 is a wasteful number, since it uses less digits than its factorization.

72117672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16106 (or 16102 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 72117672 is about 8492.2124325761. The cubic root of 72117672 is about 416.2432779443.

Adding to 72117672 its reverse (27671127), we get a palindrome (99788799).

The spelling of 72117672 in words is "seventy-two million, one hundred seventeen thousand, six hundred seventy-two".