72777397 has 16 divisors (see below), whose sum is σ = 92592000. Its totient is φ = 56706720.

The previous prime is 72777389. The next prime is 72777401. The reversal of 72777397 is 79377727.

It is not a de Polignac number, because 72777397 - 2³ = 72777389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72777397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72774397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5872 + ... + 13417.

It is an arithmetic number, because the mean of its divisors is an integer number (5787000).

Almost surely, 2^72777397 is an apocalyptic number.

72777397 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72777397 is a deficient number, since it is larger than the sum of its proper divisors (19814603).

72777397 is a wasteful number, since it uses less digits than its factorization.

72777397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19321 (or 19307 counting only the distinct ones).

The product of its digits is 907578, while the sum is 49.

The square root of 72777397 is about 8530.9669440222. The cubic root of 72777397 is about 417.5086773150.

The spelling of 72777397 in words is "seventy-two million, seven hundred seventy-seven thousand, three hundred ninety-seven".