72173952 has 192 divisors, whose sum is σ = 224040960. Its totient is φ = 22256640.

The previous prime is 72173947. The next prime is 72173963. The reversal of 72173952 is 25937127.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (26460) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1535593 + ... + 1535639.

It is an arithmetic number, because the mean of its divisors is an integer number (1166880).

Almost surely, 2^72173952 is an apocalyptic number.

72173952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112020480).

72173952 is an abundant number, since it is smaller than the sum of its proper divisors (151867008).

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

72173952 is a wasteful number, since it uses less digits than its factorization.

72173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72173952 is about 8495.5254104734. The cubic root of 72173952 is about 416.3515273271.

The spelling of 72173952 in words is "seventy-two million, one hundred seventy-three thousand, nine hundred fifty-two".