72705633 has 96 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 33264000.

The previous prime is 72705631. The next prime is 72705637. The reversal of 72705633 is 33650727.

It is not a de Polignac number, because 72705633 - 2¹ = 72705631 is a prime.

It is a super-2 number, since 2×72705633² = 10572218139861378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72705594 and 72705603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72705631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1023988 + ... + 1024058.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 2^72705633 is an apocalyptic number.

It is an amenable number.

72705633 is a deficient number, since it is larger than the sum of its proper divisors (64575903).

72705633 is a wasteful number, since it uses less digits than its factorization.

72705633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 72705633 is about 8526.7598183601. The cubic root of 72705633 is about 417.3714005063.

The spelling of 72705633 in words is "seventy-two million, seven hundred five thousand, six hundred thirty-three".