72049725 has 72 divisors (see below), whose sum is σ = 144267552. Its totient is φ = 34070400.

The previous prime is 72049711. The next prime is 72049753. The reversal of 72049725 is 52794027.

It is not a de Polignac number, because 72049725 - 2⁴ = 72049709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72049725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106087 + ... + 106763.

It is an arithmetic number, because the mean of its divisors is an integer number (2003716).

Almost surely, 2^72049725 is an apocalyptic number.

72049725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72049725 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

72049725 is a wasteful number, since it uses less digits than its factorization.

72049725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 72049725 is about 8488.2109422422. The cubic root of 72049725 is about 416.1125130977.

The spelling of 72049725 in words is "seventy-two million, forty-nine thousand, seven hundred twenty-five".