72725601 has 12 divisors (see below), whose sum is σ = 105001008. Its totient is φ = 44753904.

The previous prime is 72725573. The next prime is 72725617. The reversal of 72725601 is 10652727.

It is a de Polignac number, because none of the positive numbers 2^k-72725601 is a prime.

It is a super-2 number, since 2×72725601² = 10578026081622402, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (72725641) 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, 71215 + ... + 72228.

It is an arithmetic number, because the mean of its divisors is an integer number (8750084).

Almost surely, 2^72725601 is an apocalyptic number.

It is an amenable number.

72725601 is a deficient number, since it is larger than the sum of its proper divisors (32275407).

72725601 is a wasteful number, since it uses less digits than its factorization.

72725601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143472 (or 143459 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72725601 is about 8527.9306399618. The cubic root of 72725601 is about 417.4096062084.

The spelling of 72725601 in words is "seventy-two million, seven hundred twenty-five thousand, six hundred one".