72526743 has 48 divisors (see below), whose sum is σ = 118965600. Its totient is φ = 42301440.

The previous prime is 72526733. The next prime is 72526757. The reversal of 72526743 is 34762527.

It is a happy number.

It is not a de Polignac number, because 72526743 - 2⁶ = 72526679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72526698 and 72526707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72526703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177123 + ... + 177531.

It is an arithmetic number, because the mean of its divisors is an integer number (2478450).

Almost surely, 2^72526743 is an apocalyptic number.

72526743 is a deficient number, since it is larger than the sum of its proper divisors (46438857).

72526743 is a wasteful number, since it uses less digits than its factorization.

72526743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 509 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72526743 is about 8516.2634412047. The cubic root of 72526743 is about 417.0288094928.

The spelling of 72526743 in words is "seventy-two million, five hundred twenty-six thousand, seven hundred forty-three".