77250672 has 140 divisors (see below), whose sum is σ = 231759720. Its totient is φ = 24914304.

The previous prime is 77250643. The next prime is 77250707. The reversal of 77250672 is 27605277.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431479 + ... + 431657.

Almost surely, 2^77250672 is an apocalyptic number.

77250672 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 77250672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115879860).

77250672 is an abundant number, since it is smaller than the sum of its proper divisors (154509048).

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

77250672 is a wasteful number, since it uses less digits than its factorization.

77250672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77250672 is about 8789.2361442847. The cubic root of 77250672 is about 425.8932483951.

The spelling of 77250672 in words is "seventy-seven million, two hundred fifty thousand, six hundred seventy-two".