72076770 has 128 divisors (see below), whose sum is σ = 209018880. Its totient is φ = 17602560.

The previous prime is 72076757. The next prime is 72076783. The reversal of 72076770 is 7767027.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72076757) and next prime (72076783).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187999 + ... + 188381.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^72076770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72076770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104509440).

72076770 is an abundant number, since it is smaller than the sum of its proper divisors (136942110).

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

72076770 is a wasteful number, since it uses less digits than its factorization.

72076770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 72076770 is about 8489.8038846607. The cubic root of 72076770 is about 416.1645713816.

The spelling of 72076770 in words is "seventy-two million, seventy-six thousand, seven hundred seventy".