77209272 has 96 divisors (see below), whose sum is σ = 240240000. Its totient is φ = 21943872.

The previous prime is 77209271. The next prime is 77209289. The reversal of 77209272 is 27290277.

It is a super-2 number, since 2×77209272² = 11922543365539968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77209271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154479 + ... + 154977.

It is an arithmetic number, because the mean of its divisors is an integer number (2502500).

Almost surely, 2^77209272 is an apocalyptic number.

77209272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77209272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120000).

77209272 is an abundant number, since it is smaller than the sum of its proper divisors (163030728).

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

77209272 is a wasteful number, since it uses less digits than its factorization.

77209272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 818 counting only the distinct ones).

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

The square root of 77209272 is about 8786.8806751884. The cubic root of 77209272 is about 425.8171535611.

The spelling of 77209272 in words is "seventy-seven million, two hundred nine thousand, two hundred seventy-two".