72006975 has 54 divisors (see below), whose sum is σ = 134231240. Its totient is φ = 38316240.

The previous prime is 72006973. The next prime is 72007003. The reversal of 72006975 is 57960027.

It is not a de Polignac number, because 72006975 - 2¹ = 72006973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72006973) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 163806 + ... + 164244.

Almost surely, 2^72006975 is an apocalyptic number.

72006975 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72006975 is a deficient number, since it is larger than the sum of its proper divisors (62224265).

72006975 is an frugal number, since it uses more digits than its factorization.

72006975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 72006975 is about 8485.6923701016. The cubic root of 72006975 is about 416.0301980513.

The spelling of 72006975 in words is "seventy-two million, six thousand, nine hundred seventy-five".