72407958 has 32 divisors (see below), whose sum is σ = 169357056. Its totient is φ = 20206368.

The previous prime is 72407957. The next prime is 72407963. The reversal of 72407958 is 85970427.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72407957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18241 + ... + 21852.

It is an arithmetic number, because the mean of its divisors is an integer number (5292408).

Almost surely, 2^72407958 is an apocalyptic number.

72407958 is an abundant number, since it is smaller than the sum of its proper divisors (96949098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72407958 is a wasteful number, since it uses less digits than its factorization.

72407958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40148.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72407958 is about 8509.2865740907. The cubic root of 72407958 is about 416.8010138151.

The spelling of 72407958 in words is "seventy-two million, four hundred seven thousand, nine hundred fifty-eight".