72170364 has 48 divisors (see below), whose sum is σ = 195181056. Its totient is φ = 20328000.

The previous prime is 72170353. The next prime is 72170431. The reversal of 72170364 is 46307127.

72170364 = 973² + 974² + ... + 1043².

It is a super-2 number, since 2×72170364² = 10417122879784992, which contains 22 as substring.

It is a congruent number.

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, 87 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (4066272).

Almost surely, 2^72170364 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 72170364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97590528).

72170364 is an abundant number, since it is smaller than the sum of its proper divisors (123010692).

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

72170364 is a wasteful number, since it uses less digits than its factorization.

72170364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12186 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72170364 is about 8495.3142378608. The cubic root of 72170364 is about 416.3446278203.

The spelling of 72170364 in words is "seventy-two million, one hundred seventy thousand, three hundred sixty-four".