72172464 has 240 divisors, whose sum is σ = 243984384. Its totient is φ = 17971200.

The previous prime is 72172453. The next prime is 72172481. The reversal of 72172464 is 46427127.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760284 + ... + 1760324.

Almost surely, 2^72172464 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 72172464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121992192).

72172464 is an abundant number, since it is smaller than the sum of its proper divisors (171811920).

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

72172464 is a wasteful number, since it uses less digits than its factorization.

72172464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 72172464 is about 8495.4378345086. The cubic root of 72172464 is about 416.3486660209.

The spelling of 72172464 in words is "seventy-two million, one hundred seventy-two thousand, four hundred sixty-four".