172216072 has 64 divisors (see below), whose sum is σ = 382112640. Its totient is φ = 71232000.

The previous prime is 172216061. The next prime is 172216081. The reversal of 172216072 is 270612271.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 172216072.

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, 245322 + ... + 246022.

It is an arithmetic number, because the mean of its divisors is an integer number (5970510).

Almost surely, 2^172216072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172216072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

172216072 is an abundant number, since it is smaller than the sum of its proper divisors (209896568).

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

172216072 is a wasteful number, since it uses less digits than its factorization.

172216072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 172216072 is about 13123.1121308933. The cubic root of 172216072 is about 556.3625553153.

The spelling of 172216072 in words is "one hundred seventy-two million, two hundred sixteen thousand, seventy-two".