72125724 has 48 divisors (see below), whose sum is σ = 188084736. Its totient is φ = 21321600.

The previous prime is 72125717. The next prime is 72125731. The reversal of 72125724 is 42752127.

It is an interprime number because it is at equal distance from previous prime (72125717) and next prime (72125731).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72125691 and 72125700.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1252 + ... + 12075.

It is an arithmetic number, because the mean of its divisors is an integer number (3918432).

Almost surely, 2^72125724 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 72125724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94042368).

72125724 is an abundant number, since it is smaller than the sum of its proper divisors (115959012).

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

72125724 is a wasteful number, since it uses less digits than its factorization.

72125724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13386 (or 13384 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 72125724 is about 8492.6865007487. The cubic root of 72125724 is about 416.2587686742.

The spelling of 72125724 in words is "seventy-two million, one hundred twenty-five thousand, seven hundred twenty-four".