72601634 has 24 divisors (see below), whose sum is σ = 127413468. Its totient is φ = 30935520.

The previous prime is 72601631. The next prime is 72601657. The reversal of 72601634 is 43610627.

It can be written as a sum of positive squares in 2 ways, for example, as 62457409 + 10144225 = 7903^2 + 3185^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72601597 and 72601606.

It is not an unprimeable number, because it can be changed into a prime (72601631) 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, 15692 + ... + 19784.

Almost surely, 2^72601634 is an apocalyptic number.

72601634 is a deficient number, since it is larger than the sum of its proper divisors (54811834).

72601634 is a wasteful number, since it uses less digits than its factorization.

72601634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 72601634 is about 8520.6592467954. The cubic root of 72601634 is about 417.1723012105.

The spelling of 72601634 in words is "seventy-two million, six hundred one thousand, six hundred thirty-four".