77001372 has 72 divisors (see below), whose sum is σ = 226262400. Its totient is φ = 21623328.

The previous prime is 77001367. The next prime is 77001377. The reversal of 77001372 is 27310077.

It is an interprime number because it is at equal distance from previous prime (77001367) and next prime (77001377).

It is a super-2 number, since 2×77001372² = 11858422579764768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77001377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12279 + ... + 17457.

Almost surely, 2^77001372 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 77001372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113131200).

77001372 is an abundant number, since it is smaller than the sum of its proper divisors (149261028).

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

77001372 is a wasteful number, since it uses less digits than its factorization.

77001372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77001372 is about 8775.0425639993. The cubic root of 77001372 is about 425.4346133052.

The spelling of 77001372 in words is "seventy-seven million, one thousand, three hundred seventy-two".