72077761 has 8 divisors (see below), whose sum is σ = 84290624. Its totient is φ = 60343920.

The previous prime is 72077749. The next prime is 72077833. The reversal of 72077761 is 16777027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72077761 - 2⁷ = 72077633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72077761.

It is not an unprimeable number, because it can be changed into a prime (72077261) 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, 119430 + ... + 120031.

It is an arithmetic number, because the mean of its divisors is an integer number (10536328).

Almost surely, 2^72077761 is an apocalyptic number.

It is an amenable number.

72077761 is a deficient number, since it is larger than the sum of its proper divisors (12212863).

72077761 is a wasteful number, since it uses less digits than its factorization.

72077761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239511.

The product of its (nonzero) digits is 28812, while the sum is 37.

The square root of 72077761 is about 8489.8622485880. The cubic root of 72077761 is about 416.1664786868.

The spelling of 72077761 in words is "seventy-two million, seventy-seven thousand, seven hundred sixty-one".