72274176 has 216 divisors, whose sum is σ = 238085120. Its totient is φ = 20901888.

The previous prime is 72274171. The next prime is 72274207. The reversal of 72274176 is 67147227.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72274176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72274171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569025 + ... + 569151.

Almost surely, 2^72274176 is an apocalyptic number.

72274176 is a gapful number since it is divisible by the number (76) 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 72274176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119042560).

72274176 is an abundant number, since it is smaller than the sum of its proper divisors (165810944).

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

72274176 is a wasteful number, since it uses less digits than its factorization.

72274176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 72274176 is about 8501.4219987012. The cubic root of 72274176 is about 416.5441596822.

The spelling of 72274176 in words is "seventy-two million, two hundred seventy-four thousand, one hundred seventy-six".