72519246 has 64 divisors (see below), whose sum is σ = 171927360. Its totient is φ = 22579200.

The previous prime is 72519241. The next prime is 72519269. The reversal of 72519246 is 64291527.

It is a super-3 number, since 3×72519246³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72519246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72519241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180646 + ... + 181046.

It is an arithmetic number, because the mean of its divisors is an integer number (2686365).

Almost surely, 2^72519246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72519246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85963680).

72519246 is an abundant number, since it is smaller than the sum of its proper divisors (99408114).

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

72519246 is a wasteful number, since it uses less digits than its factorization.

72519246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72519246 is about 8515.8232720037. The cubic root of 72519246 is about 417.0144397463.

The spelling of 72519246 in words is "seventy-two million, five hundred nineteen thousand, two hundred forty-six".