72724743 has 32 divisors (see below), whose sum is σ = 132608000. Its totient is φ = 38359008.

The previous prime is 72724733. The next prime is 72724753. The reversal of 72724743 is 34742727.

It is an interprime number because it is at equal distance from previous prime (72724733) and next prime (72724753).

It is not a de Polignac number, because 72724743 - 2⁴ = 72724727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72724698 and 72724707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72724703) 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, 12343 + ... + 17256.

It is an arithmetic number, because the mean of its divisors is an integer number (4144000).

Almost surely, 2^72724743 is an apocalyptic number.

72724743 is a deficient number, since it is larger than the sum of its proper divisors (59883257).

72724743 is a wasteful number, since it uses less digits than its factorization.

72724743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29628 (or 29622 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 72724743 is about 8527.8803345263. The cubic root of 72724743 is about 417.4079647010.

The spelling of 72724743 in words is "seventy-two million, seven hundred twenty-four thousand, seven hundred forty-three".