742072 has 32 divisors (see below), whose sum is σ = 1504800. Its totient is φ = 342144.

The previous prime is 742069. The next prime is 742073. The reversal of 742072 is 270247.

742072 = T₁₀₃ + T₁₀₄ + ... + T₁₇₆.

742072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6754 + ... + 6862.

It is an arithmetic number, because the mean of its divisors is an integer number (47025).

2⁷⁴²⁰⁷² is an apocalyptic number.

It is an amenable number.

742072 is an abundant number, since it is smaller than the sum of its proper divisors (762728).

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

742072 is a wasteful number, since it uses less digits than its factorization.

742072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 742072 is about 861.4360103920. The cubic root of 742072 is about 90.5347586842.

The spelling of 742072 in words is "seven hundred forty-two thousand, seventy-two", and thus it is an iban number.