72883152 has 50 divisors (see below), whose sum is σ = 210948738. Its totient is φ = 24293952.

The previous prime is 72883147. The next prime is 72883171. The reversal of 72883152 is 25138827.

It can be written as a sum of positive squares in only one way, i.e., 63297936 + 9585216 = 7956^2 + 3096^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 26823 + ... + 29414.

Almost surely, 2^72883152 is an apocalyptic number.

72883152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72883152 is an abundant number, since it is smaller than the sum of its proper divisors (138065586).

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

72883152 is a wasteful number, since it uses less digits than its factorization.

72883152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56257 (or 56242 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 72883152 is about 8537.1629948127. The cubic root of 72883152 is about 417.7108108631.

It can be divided in two parts, 7288 and 3152, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 72883152 in words is "seventy-two million, eight hundred eighty-three thousand, one hundred fifty-two".