72006948 has 48 divisors (see below), whose sum is σ = 201048960. Its totient is φ = 22155552.

The previous prime is 72006937. The next prime is 72006959. The reversal of 72006948 is 84960027.

It is an interprime number because it is at equal distance from previous prime (72006937) and next prime (72006959).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24240 + ... + 27047.

It is an arithmetic number, because the mean of its divisors is an integer number (4188520).

Almost surely, 2^72006948 is an apocalyptic number.

72006948 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72006948 is an abundant number, since it is smaller than the sum of its proper divisors (129042012).

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

72006948 is a wasteful number, since it uses less digits than its factorization.

72006948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51313 (or 51305 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72006948 is about 8485.6907791882. The cubic root of 72006948 is about 416.0301460525.

The spelling of 72006948 in words is "seventy-two million, six thousand, nine hundred forty-eight".