72690144 has 48 divisors (see below), whose sum is σ = 191256912. Its totient is φ = 24173568.

The previous prime is 72690131. The next prime is 72690157. The reversal of 72690144 is 44109627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72690131) and next prime (72690157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69852 + ... + 70884.

It is an arithmetic number, because the mean of its divisors is an integer number (3984519).

Almost surely, 2^72690144 is an apocalyptic number.

It is an amenable number.

72690144 is an abundant number, since it is smaller than the sum of its proper divisors (118566768).

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

72690144 is a wasteful number, since it uses less digits than its factorization.

72690144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72690144 is about 8525.8515117260. The cubic root of 72690144 is about 417.3417598651.

The spelling of 72690144 in words is "seventy-two million, six hundred ninety thousand, one hundred forty-four".