72850752 has 280 divisors, whose sum is σ = 247838976. Its totient is φ = 20984832.

The previous prime is 72850751. The next prime is 72850787. The reversal of 72850752 is 25705827.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72850751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1549993 + ... + 1550039.

Almost surely, 2^72850752 is an apocalyptic number.

72850752 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 72850752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123919488).

72850752 is an abundant number, since it is smaller than the sum of its proper divisors (174988224).

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

72850752 is a wasteful number, since it uses less digits than its factorization.

72850752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 72850752 is about 8535.2651979889. The cubic root of 72850752 is about 417.6489043004.

The spelling of 72850752 in words is "seventy-two million, eight hundred fifty thousand, seven hundred fifty-two".