77139972 has 192 divisors, whose sum is σ = 252887040. Its totient is φ = 19792512.

The previous prime is 77139961. The next prime is 77139991. The reversal of 77139972 is 27993177.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461833 + ... + 461999.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 2^77139972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77139972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126443520).

77139972 is an abundant number, since it is smaller than the sum of its proper divisors (175747068).

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

77139972 is a wasteful number, since it uses less digits than its factorization.

77139972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 77139972 is about 8782.9364110188. The cubic root of 77139972 is about 425.6897165270.

The spelling of 77139972 in words is "seventy-seven million, one hundred thirty-nine thousand, nine hundred seventy-two".