72170016 has 48 divisors (see below), whose sum is σ = 189985824. Its totient is φ = 23988224.

The previous prime is 72169987. The next prime is 72170029. The reversal of 72170016 is 61007127.

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

It is a super-2 number, since 2×72170016² = 10417022418880512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 41680 + ... + 43376.

It is an arithmetic number, because the mean of its divisors is an integer number (3958038).

Almost surely, 2^72170016 is an apocalyptic number.

It is an amenable number.

72170016 is an abundant number, since it is smaller than the sum of its proper divisors (117815808).

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

72170016 is a wasteful number, since it uses less digits than its factorization.

72170016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 72170016 is about 8495.2937559569. The cubic root of 72170016 is about 416.3439586252.

The spelling of 72170016 in words is "seventy-two million, one hundred seventy thousand, sixteen".