72076962 has 32 divisors (see below), whose sum is σ = 149112000. Its totient is φ = 23208768.

The previous prime is 72076931. The next prime is 72076969. The reversal of 72076962 is 26967027.

It is a super-3 number, since 3×72076962³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 72076962.

It is not an unprimeable number, because it can be changed into a prime (72076969) 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, 31989 + ... + 34167.

It is an arithmetic number, because the mean of its divisors is an integer number (4659750).

Almost surely, 2^72076962 is an apocalyptic number.

72076962 is an abundant number, since it is smaller than the sum of its proper divisors (77035038).

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

72076962 is a wasteful number, since it uses less digits than its factorization.

72076962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 72076962 is about 8489.8151923349. The cubic root of 72076962 is about 416.1649409113.

The spelling of 72076962 in words is "seventy-two million, seventy-six thousand, nine hundred sixty-two".