72542007 has 24 divisors (see below), whose sum is σ = 109150800. Its totient is φ = 47612448.

The previous prime is 72542003. The next prime is 72542017. The reversal of 72542007 is 70024527.

It is not a de Polignac number, because 72542007 - 2² = 72542003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72542003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461973 + ... + 462129.

It is an arithmetic number, because the mean of its divisors is an integer number (4547950).

Almost surely, 2^72542007 is an apocalyptic number.

72542007 is a deficient number, since it is larger than the sum of its proper divisors (36608793).

72542007 is a wasteful number, since it uses less digits than its factorization.

72542007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72542007 is about 8517.1595617318. The cubic root of 72542007 is about 417.0580634432.

It can be divided in two parts, 7254 and 2007, that added together give a cube (9261 = 21³).

The spelling of 72542007 in words is "seventy-two million, five hundred forty-two thousand, seven".