77772032 has 36 divisors (see below), whose sum is σ = 167188980. Its totient is φ = 35893248.

The previous prime is 77772017. The next prime is 77772047. The reversal of 77772032 is 23027777.

It is an interprime number because it is at equal distance from previous prime (77772017) and next prime (77772047).

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 67634176 = 3184^2 + 8224^2 .

It is a super-2 number, since 2×77772032² = 12096977922818048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77771983 and 77772001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8357 + ... + 15012.

Almost surely, 2^77772032 is an apocalyptic number.

It is an amenable number.

77772032 is an abundant number, since it is smaller than the sum of its proper divisors (89416948).

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

77772032 is a wasteful number, since it uses less digits than its factorization.

77772032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23398 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 35.

The square root of 77772032 is about 8818.8452758850. The cubic root of 77772032 is about 426.8492100846.

The spelling of 77772032 in words is "seventy-seven million, seven hundred seventy-two thousand, thirty-two".