67761072 has 60 divisors (see below), whose sum is σ = 190199880. Its totient is φ = 22520064.

The previous prime is 67761061. The next prime is 67761073. The reversal of 67761072 is 27016776.

It is a super-3 number, since 3×67761072³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67761073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81523 + ... + 82349.

It is an arithmetic number, because the mean of its divisors is an integer number (3169998).

Almost surely, 2^67761072 is an apocalyptic number.

It is an amenable number.

67761072 is an abundant number, since it is smaller than the sum of its proper divisors (122438808).

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

67761072 is a wasteful number, since it uses less digits than its factorization.

67761072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 67761072 is about 8231.7113652023. The cubic root of 67761072 is about 407.6868993486.

The spelling of 67761072 in words is "sixty-seven million, seven hundred sixty-one thousand, seventy-two".