72829152 has 192 divisors, whose sum is σ = 237081600. Its totient is φ = 21565440.

The previous prime is 72829123. The next prime is 72829217. The reversal of 72829152 is 25192827.

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

Its product of digits (20160) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 750768 + ... + 750864.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^72829152 is an apocalyptic number.

72829152 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 72829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

72829152 is an abundant number, since it is smaller than the sum of its proper divisors (164252448).

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

72829152 is a wasteful number, since it uses less digits than its factorization.

72829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 72829152 is about 8533.9997656433. Note that the first 3 decimals coincide. The cubic root of 72829152 is about 417.6076230607.

The spelling of 72829152 in words is "seventy-two million, eight hundred twenty-nine thousand, one hundred fifty-two".