72877420 has 96 divisors (see below), whose sum is σ = 196116480. Its totient is φ = 22083840.

The previous prime is 72877417. The next prime is 72877423. The reversal of 72877420 is 2477827.

It is an interprime number because it is at equal distance from previous prime (72877417) and next prime (72877423).

It is a super-2 number, since 2×72877420² = 10622236691712800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 72877420.

It is not an unprimeable number, because it can be changed into a prime (72877423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56341 + ... + 57619.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 2^72877420 is an apocalyptic number.

72877420 is a gapful number since it is divisible by the number (70) 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 72877420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98058240).

72877420 is an abundant number, since it is smaller than the sum of its proper divisors (123239060).

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

72877420 is a wasteful number, since it uses less digits than its factorization.

72877420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 72877420 is about 8536.8272794991. The cubic root of 72877420 is about 417.6998600874.

The spelling of 72877420 in words is "seventy-two million, eight hundred seventy-seven thousand, four hundred twenty".