72075934 has 32 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 29914080.

The previous prime is 72075931. The next prime is 72075943. The reversal of 72075934 is 43957027.

It is a junction number, because it is equal to n+sod(n) for n = 72075893 and 72075902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72075931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58032 + ... + 59260.

It is an arithmetic number, because the mean of its divisors is an integer number (3985200).

Almost surely, 2^72075934 is an apocalyptic number.

72075934 is a deficient number, since it is larger than the sum of its proper divisors (55450466).

72075934 is a wasteful number, since it uses less digits than its factorization.

72075934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 72075934 is about 8489.7546489872. The cubic root of 72075934 is about 416.1629623799.

The spelling of 72075934 in words is "seventy-two million, seventy-five thousand, nine hundred thirty-four".