72037728 has 192 divisors, whose sum is σ = 246597120. Its totient is φ = 20030976.

The previous prime is 72037727. The next prime is 72037733. The reversal of 72037728 is 82773027.

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

It is a junction number, because it is equal to n+sod(n) for n = 72037692 and 72037701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72037727) by changing a digit.

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, 259926 + ... + 260202.

It is an arithmetic number, because the mean of its divisors is an integer number (1284360).

Almost surely, 2^72037728 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 72037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123298560).

72037728 is an abundant number, since it is smaller than the sum of its proper divisors (174559392).

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

72037728 is a wasteful number, since it uses less digits than its factorization.

72037728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

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

The square root of 72037728 is about 8487.5042268031. The cubic root of 72037728 is about 416.0894161836.

The spelling of 72037728 in words is "seventy-two million, thirty-seven thousand, seven hundred twenty-eight".