72042768 has 60 divisors (see below), whose sum is σ = 230425728. Its totient is φ = 20583360.

The previous prime is 72042743. The next prime is 72042793. The reversal of 72042768 is 86724027.

It is an interprime number because it is at equal distance from previous prime (72042743) and next prime (72042793).

It is a super-2 number, since 2×72042768² = 10380320842203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34728 + ... + 36743.

Almost surely, 2^72042768 is an apocalyptic number.

It is an amenable number.

72042768 is an abundant number, since it is smaller than the sum of its proper divisors (158382960).

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

72042768 is a wasteful number, since it uses less digits than its factorization.

72042768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71492 (or 71483 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72042768 is about 8487.8011286787. The cubic root of 72042768 is about 416.0991196256.

The spelling of 72042768 in words is "seventy-two million, forty-two thousand, seven hundred sixty-eight".