72751248 has 60 divisors (see below), whose sum is σ = 207077520. Its totient is φ = 23836608.

The previous prime is 72751241. The next prime is 72751249. The reversal of 72751248 is 84215727.

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

It is not an unprimeable number, because it can be changed into a prime (72751241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215 + ... + 12777.

It is an arithmetic number, because the mean of its divisors is an integer number (3451292).

Almost surely, 2^72751248 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 72751248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103538760).

72751248 is an abundant number, since it is smaller than the sum of its proper divisors (134326272).

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

72751248 is a wasteful number, since it uses less digits than its factorization.

72751248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8636 (or 8627 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72751248 is about 8529.4342133579. The cubic root of 72751248 is about 417.4586675470.

The spelling of 72751248 in words is "seventy-two million, seven hundred fifty-one thousand, two hundred forty-eight".